Atkin-Lehner |
2- 3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cs |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
72972900 = 22 · 36 · 52 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,681] |
[a1,a2,a3,a4,a6] |
j |
594823321/100100 |
j-invariant |
L |
3.7079883900116 |
L(r)(E,1)/r! |
Ω |
1.8539942276011 |
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 |
10010i1 |
Quadratic twists by: -3 |