Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
56644q |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
42277966566938368 = 28 · 711 · 174 |
Discriminant |
Eigenvalues |
2- 1 2 7- -4 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-174652,-26352572] |
[a1,a2,a3,a4,a6] |
j |
234219472/16807 |
j-invariant |
L |
2.8151288872109 |
L(r)(E,1)/r! |
Ω |
0.23459407376911 |
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 |
8092h1 56644j1 |
Quadratic twists by: -7 17 |