Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578ba |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-126411257973459312 = -1 · 24 · 39 · 712 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-194490,37230948] |
[a1,a2,a3,a4,a6] |
j |
-9486391169809/1473906672 |
j-invariant |
L |
2.5472281106569 |
L(r)(E,1)/r! |
Ω |
0.31840351383211 |
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 |
8526z1 3654l1 |
Quadratic twists by: -3 -7 |