Atkin-Lehner |
2- 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6624f |
Isogeny class |
Conductor |
6624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15993303552 = 29 · 310 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -6 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7707,-260350] |
[a1,a2,a3,a4,a6] |
Generators |
[274:4266:1] |
Generators of the group modulo torsion |
j |
135638288072/42849 |
j-invariant |
L |
2.3868504461016 |
L(r)(E,1)/r! |
Ω |
0.50954958047707 |
Real period |
R |
4.684235916487 |
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 |
6624j2 13248bj2 2208c2 |
Quadratic twists by: -4 8 -3 |