Atkin-Lehner |
2+ 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090l |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1105167940852500 = 22 · 35 · 54 · 77 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1776912,-912428964] |
[a1,a2,a3,a4,a6] |
Generators |
[2932:136714:1] |
Generators of the group modulo torsion |
j |
5273920936142579449/9393772500 |
j-invariant |
L |
4.823613677952 |
L(r)(E,1)/r! |
Ω |
0.13076246209014 |
Real period |
R |
2.3055229312758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870f2 |
Quadratic twists by: -7 |