Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696et |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
3061257408 = 26 · 33 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 11- -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1650:23595:8] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
9.1525252001107 |
L(r)(E,1)/r! |
Ω |
1.2014219427999 |
Real period |
R |
3.8090386376852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696et1 34848bo2 69696ev1 576f1 |
Quadratic twists by: -4 8 -3 -11 |