Atkin-Lehner |
2+ 3- 5- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96570h |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
1.3396301341952E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30306429,63982712133] |
[a1,a2,a3,a4,a6] |
j |
4222799792480415376079569/18376270702266286080 |
j-invariant |
L |
1.5170713088983 |
L(r)(E,1)/r! |
Ω |
0.12642261247374 |
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 |
32190u1 |
Quadratic twists by: -3 |