Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15624t |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13672695039510528 = 211 · 310 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -6 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63003,-2323690] |
[a1,a2,a3,a4,a6] |
Generators |
[-214790:1139931:1000] |
Generators of the group modulo torsion |
j |
18524646126002/9157915809 |
j-invariant |
L |
5.8486011726572 |
L(r)(E,1)/r! |
Ω |
0.31701016124097 |
Real period |
R |
9.224627295482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248x2 124992bs2 5208a2 109368ce2 |
Quadratic twists by: -4 8 -3 -7 |