Atkin-Lehner |
2- 3- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
119574bl |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-2232887328937504512 = -1 · 28 · 313 · 78 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,273901,-46160589] |
[a1,a2,a3,a4,a6] |
j |
3117299456596177943/3062945581532928 |
j-invariant |
L |
2.263768784064 |
L(r)(E,1)/r! |
Ω |
0.14148561433375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39858d1 |
Quadratic twists by: -3 |