Atkin-Lehner |
2- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
57820a |
Isogeny class |
Conductor |
57820 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-136049303600 = -1 · 24 · 52 · 78 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 2 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-70874] |
[a1,a2,a3,a4,a6] |
j |
-39337984/1475 |
j-invariant |
L |
1.8999117718905 |
L(r)(E,1)/r! |
Ω |
0.3166519623613 |
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 |
57820m1 |
Quadratic twists by: -7 |