Atkin-Lehner |
2+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
13616b |
Isogeny class |
Conductor |
13616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-140981657072 = -1 · 24 · 235 · 372 |
Discriminant |
Eigenvalues |
2+ 1 0 -2 -2 5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257388,50175239] |
[a1,a2,a3,a4,a6] |
j |
-117861049123223584000/8811353567 |
j-invariant |
L |
1.5731499898298 |
L(r)(E,1)/r! |
Ω |
0.7865749949149 |
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 |
6808e1 54464n1 122544l1 |
Quadratic twists by: -4 8 -3 |