Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050cc |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
804863281250 = 2 · 510 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 -2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9388,343531] |
[a1,a2,a3,a4,a6] |
j |
191227225/1682 |
j-invariant |
L |
7.188695461842 |
L(r)(E,1)/r! |
Ω |
0.89858693050399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050bh1 71050bn1 |
Quadratic twists by: 5 -7 |