Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600bf |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3793920 |
Modular degree for the optimal curve |
Δ |
-9.320174703873E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27721875,-58068418750] |
[a1,a2,a3,a4,a6] |
Generators |
[521610121708655025858007604530759:-76754394120692356044512344160951682:22708552571811880383482998021] |
Generators of the group modulo torsion |
j |
-323194518662500/12784876137 |
j-invariant |
L |
6.8142026119105 |
L(r)(E,1)/r! |
Ω |
0.032821468210395 |
Real period |
R |
51.903548069738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19800f1 13200f1 39600bs1 |
Quadratic twists by: -4 -3 5 |