Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dp |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-7158037076775000000 = -1 · 26 · 33 · 58 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,411145,-79306353] |
[a1,a2,a3,a4,a6] |
j |
3774555693/3515200 |
j-invariant |
L |
3.0954358578757 |
L(r)(E,1)/r! |
Ω |
0.12897649373762 |
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 |
76050l3 15210e1 5850b1 |
Quadratic twists by: -3 5 13 |