Atkin-Lehner |
2- 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090db |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-3982866063075900 = -1 · 22 · 37 · 52 · 73 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63788,6920331] |
[a1,a2,a3,a4,a6] |
j |
-39373748017140601/5463465107100 |
j-invariant |
L |
5.1116207856546 |
L(r)(E,1)/r! |
Ω |
0.42596840496263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030i1 |
Quadratic twists by: -3 |