Atkin-Lehner |
3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96921p |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2665600 |
Modular degree for the optimal curve |
Δ |
-1.4843454178309E+19 |
Discriminant |
Eigenvalues |
0 3- -4 2 11- -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-480612,225403186] |
[a1,a2,a3,a4,a6] |
Generators |
[902:22929:1] |
Generators of the group modulo torsion |
j |
-9506571157504/11493474507 |
j-invariant |
L |
3.7543475396672 |
L(r)(E,1)/r! |
Ω |
0.2007071805077 |
Real period |
R |
4.676399128699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32307d1 801a1 |
Quadratic twists by: -3 -11 |