Atkin-Lehner |
2- 3- 7- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38346r |
Isogeny class |
Conductor |
38346 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
380401216272 = 24 · 312 · 72 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1904,11760] |
[a1,a2,a3,a4,a6] |
j |
763376524275457/380401216272 |
j-invariant |
L |
5.0596949198124 |
L(r)(E,1)/r! |
Ω |
0.84328248664031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115038s1 |
Quadratic twists by: -3 |