Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696fz |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
-6.7192218104476E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,974292,136102736] |
[a1,a2,a3,a4,a6] |
j |
9987164/6561 |
j-invariant |
L |
1.4695140844548 |
L(r)(E,1)/r! |
Ω |
0.12245950682427 |
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 |
69696br1 17424s1 23232ct1 69696ga1 |
Quadratic twists by: -4 8 -3 -11 |