Atkin-Lehner |
5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
15895c |
Isogeny class |
Conductor |
15895 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-22968275 = -1 · 52 · 11 · 174 |
Discriminant |
Eigenvalues |
2 -1 5+ 0 11+ 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-96,-399] |
[a1,a2,a3,a4,a6] |
j |
-1183744/275 |
j-invariant |
L |
1.5053429739594 |
L(r)(E,1)/r! |
Ω |
0.75267148697972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79475g1 15895g1 |
Quadratic twists by: 5 17 |