Atkin-Lehner |
2- 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504y |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
15876096 = 214 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-312,-2220] |
[a1,a2,a3,a4,a6] |
j |
822656953/3876 |
j-invariant |
L |
4.5438930638426 |
L(r)(E,1)/r! |
Ω |
1.1359732659607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938a1 62016bv1 46512bo1 |
Quadratic twists by: -4 8 -3 |