Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350en |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
222953472 |
Modular degree for the optimal curve |
Δ |
-2.3112530648064E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19054868630,-1038493281703003] |
[a1,a2,a3,a4,a6] |
j |
-67172890180943415009710808721/2029083623424000000000000 |
j-invariant |
L |
0.71831279630266 |
L(r)(E,1)/r! |
Ω |
0.006413507108831 |
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 |
21450x1 12870o1 |
Quadratic twists by: -3 5 |