Atkin-Lehner |
5+ 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
115885a |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
34848 |
Modular degree for the optimal curve |
Δ |
-141959125 = -1 · 53 · 74 · 11 · 43 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 11- -7 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,40,-575] |
[a1,a2,a3,a4,a6] |
Generators |
[16:55:1] |
Generators of the group modulo torsion |
j |
2906631/59125 |
j-invariant |
L |
4.7531491067478 |
L(r)(E,1)/r! |
Ω |
0.89291024882917 |
Real period |
R |
1.7744034564952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115885p1 |
Quadratic twists by: -7 |