Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296bg |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
83763996587360208 = 24 · 316 · 74 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116238,6226715] |
[a1,a2,a3,a4,a6] |
j |
14890887676143616/7181412601797 |
j-invariant |
L |
3.6470389491136 |
L(r)(E,1)/r! |
Ω |
0.30391991242534 |
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 |
18648bc1 12432g1 |
Quadratic twists by: -4 -3 |