Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696ez |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-15897378816 = -1 · 214 · 36 · 113 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,528,-3872] |
[a1,a2,a3,a4,a6] |
Generators |
[7491:125191:27] |
Generators of the group modulo torsion |
j |
1024 |
j-invariant |
L |
9.0086859135305 |
L(r)(E,1)/r! |
Ω |
0.67591490789144 |
Real period |
R |
6.6640680716957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696ba1 17424g1 7744q1 69696fa1 |
Quadratic twists by: -4 8 -3 -11 |