Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312dp |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-75338542175858688 = -1 · 212 · 3 · 1910 |
Discriminant |
Eigenvalues |
2- 3- -2 1 0 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1216329,-516901353] |
[a1,a2,a3,a4,a6] |
j |
-7924672/3 |
j-invariant |
L |
2.3001008663609 |
L(r)(E,1)/r! |
Ω |
0.071878151828891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69312cr1 34656g1 69312cg1 |
Quadratic twists by: -4 8 -19 |