Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50600l |
Isogeny class |
Conductor |
50600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-17393750000 = -1 · 24 · 58 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 11- 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,425,5375] |
[a1,a2,a3,a4,a6] |
j |
33958656/69575 |
j-invariant |
L |
6.8109168269001 |
L(r)(E,1)/r! |
Ω |
0.85136460333995 |
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 |
101200b1 10120a1 |
Quadratic twists by: -4 5 |