Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376u |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
225383334797312 = 213 · 317 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5084651,4413059994] |
[a1,a2,a3,a4,a6] |
Generators |
[2399276756037:5483655745350:1775956931] |
Generators of the group modulo torsion |
j |
3999236143617/62 |
j-invariant |
L |
3.731044307737 |
L(r)(E,1)/r! |
Ω |
0.39827140234728 |
Real period |
R |
18.736189873275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1922d3 61504bm4 496f3 |
Quadratic twists by: -4 8 -31 |