Atkin-Lehner |
2- 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816ca |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
10 |
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] |
Generators |
[64:-363:1] [-16:3:1] |
Generators of the group modulo torsion |
j |
470596000000/62326737 |
j-invariant |
L |
9.3253559125629 |
L(r)(E,1)/r! |
Ω |
0.75755524645056 |
Real period |
R |
1.2309803089184 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816z1 22704i1 |
Quadratic twists by: -4 8 |