Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290f |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1176000 |
Modular degree for the optimal curve |
Δ |
-204253932487220 = -1 · 22 · 5 · 78 · 116 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ 11- 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-780775,-265350079] |
[a1,a2,a3,a4,a6] |
j |
-5154200289/20 |
j-invariant |
L |
3.8545989163095 |
L(r)(E,1)/r! |
Ω |
0.080304143994415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290ch1 490f1 |
Quadratic twists by: -7 -11 |