Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34440q |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.0176564909635E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24548196,-46553725980] |
[a1,a2,a3,a4,a6] |
Generators |
[-2692:3770:1] |
Generators of the group modulo torsion |
j |
6390612889070026667335504/39752206678261361025 |
j-invariant |
L |
4.695002290457 |
L(r)(E,1)/r! |
Ω |
0.067851177515834 |
Real period |
R |
5.7662992035785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880q2 103320t2 |
Quadratic twists by: -4 -3 |