Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696el |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.0242001342955E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5658444,-5614796880] |
[a1,a2,a3,a4,a6] |
Generators |
[30324723007271:57736587770693425:8365427] |
Generators of the group modulo torsion |
j |
-17535471192/1771561 |
j-invariant |
L |
7.6833927126567 |
L(r)(E,1)/r! |
Ω |
0.048664983097897 |
Real period |
R |
19.735424279035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696em2 34848h2 69696ep2 6336bq2 |
Quadratic twists by: -4 8 -3 -11 |