Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15582z |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
1495872 = 26 · 32 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 1 3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29,-15] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:1] |
Generators of the group modulo torsion |
j |
55164193/30528 |
j-invariant |
L |
8.0751117722604 |
L(r)(E,1)/r! |
Ω |
2.203110718901 |
Real period |
R |
0.30544355998476 |
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 |
124656cs1 46746k1 15582q1 |
Quadratic twists by: -4 -3 -7 |