Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968cg |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
19754753615424 = 26 · 38 · 196 |
Discriminant |
Eigenvalues |
2- 3- -2 4 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7581,-137180] |
[a1,a2,a3,a4,a6] |
j |
21952/9 |
j-invariant |
L |
4.2430700252388 |
L(r)(E,1)/r! |
Ω |
0.53038375293601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103968z1 34656r1 288c1 |
Quadratic twists by: -4 -3 -19 |