Atkin-Lehner |
5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
12425c |
Isogeny class |
Conductor |
12425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-18645265625 = -1 · 56 · 75 · 71 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ 1 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,612,-2983] |
[a1,a2,a3,a4,a6] |
j |
1622234375/1193297 |
j-invariant |
L |
1.3724402451227 |
L(r)(E,1)/r! |
Ω |
0.68622012256137 |
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 |
111825c1 497a1 86975o1 |
Quadratic twists by: -3 5 -7 |