Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605o |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
566590464 |
Modular degree for the optimal curve |
Δ |
2.799786325408E+31 |
Discriminant |
Eigenvalues |
2 0 5+ 7- -5 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-36844705583,-2710211482425001] |
[a1,a2,a3,a4,a6] |
Generators |
[-322586860879854699976323113860304018355256096158240041627831810847619421673199334109288736474472498586007124639748856969378570272953911531382992268557609088361158892549785059862830469725701503309130618787486918128265099665190288947977411883168527488231902826365809611906:5121223205488480983763509008574514642208319327199971644201759668967913800599006886604157431506765548915109135036265129762527798500321321657047921444877050745362756207103243093000065302969224303339170263050884380222104786467900387609389976009048731305682919280642790324429:3056484446154075483918353374327496466660237256406939651223352472209035209773016128331769670797949330333266793922007356714068247318961042880807986447713770086951084167647830193569586695953294127620898842762013266916908239722129725674427511439187249014804886929960312] |
Generators of the group modulo torsion |
j |
1134964776505135104/5744580078125 |
j-invariant |
L |
9.0918114096777 |
L(r)(E,1)/r! |
Ω |
0.010900291107404 |
Real period |
R |
417.04443120339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515s1 129605bf1 |
Quadratic twists by: -7 -23 |