Atkin-Lehner |
3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25047i |
Isogeny class |
Conductor |
25047 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-23581253302046847 = -1 · 314 · 118 · 23 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33736,-7001134] |
[a1,a2,a3,a4,a6] |
j |
3288008303/18259263 |
j-invariant |
L |
1.5224759949954 |
L(r)(E,1)/r! |
Ω |
0.19030949937442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8349c1 2277b1 |
Quadratic twists by: -3 -11 |