Atkin-Lehner |
3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
66975g |
Isogeny class |
Conductor |
66975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
1756879828125 = 3 · 56 · 192 · 473 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 -5 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3308,34919] |
[a1,a2,a3,a4,a6] |
j |
256289886208/112440309 |
j-invariant |
L |
6.0337588488466 |
L(r)(E,1)/r! |
Ω |
0.75421985750049 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2679b1 |
Quadratic twists by: 5 |