Atkin-Lehner |
2+ 3- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270p |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-4613348709285984000 = -1 · 28 · 39 · 53 · 232 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,156150,-100612364] |
[a1,a2,a3,a4,a6] |
j |
577591222886978399/6328324704096000 |
j-invariant |
L |
0.96305029537881 |
L(r)(E,1)/r! |
Ω |
0.12038142827286 |
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 |
42090p1 |
Quadratic twists by: -3 |