Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680go |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
29286727680000 = 224 · 3 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46305,3810975] |
[a1,a2,a3,a4,a6] |
j |
41886766402489/111720000 |
j-invariant |
L |
5.3184201162583 |
L(r)(E,1)/r! |
Ω |
0.66480261951114 |
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 |
127680v1 31920y1 |
Quadratic twists by: -4 8 |