Atkin-Lehner |
2+ 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816z |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
63822578688 = 210 · 32 · 115 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11+ -4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,21767] |
[a1,a2,a3,a4,a6] |
j |
470596000000/62326737 |
j-invariant |
L |
2.1271402714412 |
L(r)(E,1)/r! |
Ω |
1.0635701254268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816ca1 11352d1 |
Quadratic twists by: -4 8 |