Atkin-Lehner |
2+ 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582o |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
53456959258228368 = 24 · 38 · 178 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-95810,-2567356] |
[a1,a2,a3,a4,a6] |
j |
4029546653497/2214678672 |
j-invariant |
L |
2.3212854295685 |
L(r)(E,1)/r! |
Ω |
0.29016066143393 |
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 |
7446c1 |
Quadratic twists by: 17 |