Atkin-Lehner |
11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35321d |
Isogeny class |
Conductor |
35321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
28812424796441 = 11 · 1310 · 19 |
Discriminant |
Eigenvalues |
1 0 2 0 11- 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10256,-302613] |
[a1,a2,a3,a4,a6] |
Generators |
[-1100144489902:-4884449715969:17861451544] |
Generators of the group modulo torsion |
j |
24718462497/5969249 |
j-invariant |
L |
7.2967816198329 |
L(r)(E,1)/r! |
Ω |
0.48274259666525 |
Real period |
R |
15.115263642028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2717a1 |
Quadratic twists by: 13 |