Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376z |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
64491618304 = 226 · 312 |
Discriminant |
Eigenvalues |
2- 3 1 3 -3 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1147,8618] |
[a1,a2,a3,a4,a6] |
Generators |
[-609:4096:27] |
Generators of the group modulo torsion |
j |
42396561/16384 |
j-invariant |
L |
9.0424077532742 |
L(r)(E,1)/r! |
Ω |
1.0052900477636 |
Real period |
R |
2.2487061752453 |
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 |
1922e1 61504cf1 15376s1 |
Quadratic twists by: -4 8 -31 |