Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cb |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
3971000000 = 26 · 56 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11+ 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5336,151790] |
[a1,a2,a3,a4,a6] |
j |
262586616878656/62046875 |
j-invariant |
L |
1.3564801501772 |
L(r)(E,1)/r! |
Ω |
1.3564801584207 |
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 |
66880cr1 33440q2 |
Quadratic twists by: -4 8 |