Atkin-Lehner |
2- 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216x |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
559469887488 = 216 · 35 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 0 6 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2456,-30828] |
[a1,a2,a3,a4,a6] |
j |
400152624409/136589328 |
j-invariant |
L |
6.9694567028352 |
L(r)(E,1)/r! |
Ω |
0.69694567028052 |
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 |
4902b1 117648bl1 |
Quadratic twists by: -4 -3 |