Atkin-Lehner |
2+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46624a |
Isogeny class |
Conductor |
46624 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
745984 = 29 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 1 1 3 0 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,76] |
[a1,a2,a3,a4,a6] |
j |
14172488/1457 |
j-invariant |
L |
2.76215210595 |
L(r)(E,1)/r! |
Ω |
2.762152106393 |
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 |
46624c1 93248bc1 |
Quadratic twists by: -4 8 |