Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624h |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10624768 = -1 · 28 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1056:1] |
Generators of the group modulo torsion |
j |
2000/121 |
j-invariant |
L |
6.055253412796 |
L(r)(E,1)/r! |
Ω |
1.0889972702583 |
Real period |
R |
2.7801967820175 |
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 |
4312j2 34496cu2 77616bh2 8624j2 |
Quadratic twists by: -4 8 -3 -7 |