Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gq |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-39888715776 = -1 · 215 · 3 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-9633] |
[a1,a2,a3,a4,a6] |
j |
-392/507 |
j-invariant |
L |
6.2270319783021 |
L(r)(E,1)/r! |
Ω |
0.51891939475759 |
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 |
122304eo1 61152bb1 122304fd1 |
Quadratic twists by: -4 8 -7 |