Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
15582q |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
175987844928 = 26 · 32 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 1 -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1422,3723] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:161:1] |
Generators of the group modulo torsion |
j |
55164193/30528 |
j-invariant |
L |
7.2305400837768 |
L(r)(E,1)/r! |
Ω |
0.88055975759276 |
Real period |
R |
0.22809165866214 |
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 |
124656de1 46746e1 15582z1 |
Quadratic twists by: -4 -3 -7 |