Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15561i |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-5002690329 = -1 · 310 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- -1 7- -5 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,-3483] |
[a1,a2,a3,a4,a6] |
Generators |
[36:171:1] |
Generators of the group modulo torsion |
j |
-887503681/6862401 |
j-invariant |
L |
4.9888336942858 |
L(r)(E,1)/r! |
Ω |
0.57509710876986 |
Real period |
R |
1.4457945792137 |
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 |
5187h1 108927z1 |
Quadratic twists by: -3 -7 |