Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312j |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5253120 |
Modular degree for the optimal curve |
Δ |
-9.9982080675751E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 2 -3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25195393,-50991170687] |
[a1,a2,a3,a4,a6] |
j |
-1100553625/62208 |
j-invariant |
L |
1.6791380967777 |
L(r)(E,1)/r! |
Ω |
0.033582762402822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69312dg1 2166h1 69312bb1 |
Quadratic twists by: -4 8 -19 |