Atkin-Lehner |
2+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
13432b |
Isogeny class |
Conductor |
13432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1512640 |
Modular degree for the optimal curve |
Δ |
280743647410432 = 28 · 232 · 735 |
Discriminant |
Eigenvalues |
2+ 0 0 4 -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-691023895,-6991779304182] |
[a1,a2,a3,a4,a6] |
j |
142548595376740521772741506000/1096654872697 |
j-invariant |
L |
1.4428539356749 |
L(r)(E,1)/r! |
Ω |
0.029445998687242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26864a1 107456b1 120888e1 |
Quadratic twists by: -4 8 -3 |