Atkin-Lehner |
2- 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090dj |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2099520 |
Modular degree for the optimal curve |
Δ |
-558698765625000 = -1 · 23 · 36 · 59 · 73 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5365733,-4782664123] |
[a1,a2,a3,a4,a6] |
j |
-23435988854433472928521/766390625000 |
j-invariant |
L |
4.0174207579567 |
L(r)(E,1)/r! |
Ω |
0.049597787084981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10010l1 |
Quadratic twists by: -3 |