Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370c |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.3334362366407E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58157343448,-5398298602443968] |
[a1,a2,a3,a4,a6] |
Generators |
[2480787848403597409934590502826693874052083373254512907834229547359189449794:777086767109676338448960449579543840902587261784591114269807640324357107607351:7589402451120010407299119312304870934936907660435399650663398473987736] |
Generators of the group modulo torsion |
j |
901247067798311192691198986281/552431869440 |
j-invariant |
L |
4.5688381613533 |
L(r)(E,1)/r! |
Ω |
0.0097218387762669 |
Real period |
R |
117.48904364951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610t7 |
Quadratic twists by: 17 |