Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312do |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
6.6340510027033E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8133089,-8024196705] |
[a1,a2,a3,a4,a6] |
j |
4824238966273/537919488 |
j-invariant |
L |
1.0805688723238 |
L(r)(E,1)/r! |
Ω |
0.090047406365497 |
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 |
69312t1 17328v1 3648v1 |
Quadratic twists by: -4 8 -19 |