Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6600bc |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
108900000000 = 28 · 32 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1508,-16512] |
[a1,a2,a3,a4,a6] |
j |
94875856/27225 |
j-invariant |
L |
3.1313492412055 |
L(r)(E,1)/r! |
Ω |
0.78283731030138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13200b2 52800h2 19800d2 1320b2 |
Quadratic twists by: -4 8 -3 5 |