Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6624c |
Isogeny class |
Conductor |
6624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
42648809472 = 212 · 39 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1020,7648] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:108:1] |
Generators of the group modulo torsion |
j |
39304000/14283 |
j-invariant |
L |
4.040777733168 |
L(r)(E,1)/r! |
Ω |
1.0457278149658 |
Real period |
R |
0.96602042982385 |
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 |
6624e2 13248q1 2208j2 |
Quadratic twists by: -4 8 -3 |