Atkin-Lehner |
2- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12496d |
Isogeny class |
Conductor |
12496 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
387076096 = 212 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 0 -1 -3 11+ 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12928,-565776] |
[a1,a2,a3,a4,a6] |
j |
58338840674304/94501 |
j-invariant |
L |
0.44773058342228 |
L(r)(E,1)/r! |
Ω |
0.44773058342228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
781b1 49984p1 112464bj1 |
Quadratic twists by: -4 8 -3 |