Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450ck |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4152960 |
Modular degree for the optimal curve |
Δ |
-7.5952726641035E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2528555,-1602757803] |
[a1,a2,a3,a4,a6] |
Generators |
[194335579367915999685572104551584854011021031729836480778836620:54708216329465903910392879208096477812730469643318676649967624907:2442482766467223016412940336320294071512169802937769507264] |
Generators of the group modulo torsion |
j |
-251138440675825/10668805498 |
j-invariant |
L |
11.738594794658 |
L(r)(E,1)/r! |
Ω |
0.059713580740359 |
Real period |
R |
98.290829733512 |
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 |
11050b1 99450bw1 |
Quadratic twists by: -3 5 |