Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656f |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3980295489978368 = 219 · 112 · 894 |
Discriminant |
Eigenvalues |
2+ 0 2 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93164,-10515792] |
[a1,a2,a3,a4,a6] |
Generators |
[2818:4895:8] |
Generators of the group modulo torsion |
j |
341136485041617/15183622322 |
j-invariant |
L |
6.7692271314386 |
L(r)(E,1)/r! |
Ω |
0.2740194914652 |
Real period |
R |
3.0879313981062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62656m4 1958a3 |
Quadratic twists by: -4 8 |