Atkin-Lehner |
2- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
50864bv |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
135129600 |
Modular degree for the optimal curve |
Δ |
-3.5387003364461E+29 |
Discriminant |
Eigenvalues |
2- 3 3 2 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4696371091,127140585419858] |
[a1,a2,a3,a4,a6] |
j |
-400921744371182188137/12384898975268864 |
j-invariant |
L |
9.0460868415712 |
L(r)(E,1)/r! |
Ω |
0.030153622806199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358c1 50864bj1 |
Quadratic twists by: -4 17 |