Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950cu |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
679311360 |
Modular degree for the optimal curve |
Δ |
9.2632711363708E+31 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -5 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21799340730,1149040857115897] |
[a1,a2,a3,a4,a6] |
j |
623225944950388227633972249/50391363524359094272000 |
j-invariant |
L |
8.0363929158112 |
L(r)(E,1)/r! |
Ω |
0.018602761338548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190t1 10850ba1 |
Quadratic twists by: 5 -7 |