Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gh |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
503497903813632 = 210 · 38 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46909,3774205] |
[a1,a2,a3,a4,a6] |
j |
94757435392/4179357 |
j-invariant |
L |
1.0349191877041 |
L(r)(E,1)/r! |
Ω |
0.51745978801049 |
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 |
122304eg1 30576v1 17472cm1 |
Quadratic twists by: -4 8 -7 |