Atkin-Lehner |
2+ 11+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38456a |
Isogeny class |
Conductor |
38456 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
958381976811776 = 28 · 113 · 19 · 236 |
Discriminant |
Eigenvalues |
2+ -2 2 0 11+ 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24652,24960] |
[a1,a2,a3,a4,a6] |
j |
6472288102375888/3743679596921 |
j-invariant |
L |
1.2592674754029 |
L(r)(E,1)/r! |
Ω |
0.41975582515218 |
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 |
76912d1 |
Quadratic twists by: -4 |