Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936be |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-5331038976 = -1 · 28 · 35 · 17 · 712 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -3 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-957,-12249] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-426:1] |
Generators of the group modulo torsion |
j |
-379029741568/20824371 |
j-invariant |
L |
5.9509119151484 |
L(r)(E,1)/r! |
Ω |
0.42777899938332 |
Real period |
R |
0.69555914662934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14484d1 |
Quadratic twists by: -4 |