Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440bd |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
368421216583680 = 217 · 39 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-209388,-36867152] |
[a1,a2,a3,a4,a6] |
j |
10625310339698/3855735 |
j-invariant |
L |
1.785504925307 |
L(r)(E,1)/r! |
Ω |
0.22318811566417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440dt4 4680t3 12480bg4 |
Quadratic twists by: -4 8 -3 |