Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696ei |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-35706506406912 = -1 · 210 · 39 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-287496] |
[a1,a2,a3,a4,a6] |
Generators |
[136950:3446443:216] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.6047271475953 |
L(r)(E,1)/r! |
Ω |
0.2989462293164 |
Real period |
R |
7.7015976386068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696o3 17424be3 69696ei1 576e3 |
Quadratic twists by: -4 8 -3 -11 |