Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
15904h |
Isogeny class |
Conductor |
15904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-99749888 = -1 · 212 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ -1 -1 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,-544] |
[a1,a2,a3,a4,a6] |
Generators |
[552:2168:27] |
Generators of the group modulo torsion |
j |
-11852352/24353 |
j-invariant |
L |
7.2541175304164 |
L(r)(E,1)/r! |
Ω |
0.75888616979485 |
Real period |
R |
4.7794503439016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15904e1 31808f1 111328bi1 |
Quadratic twists by: -4 8 -7 |