Atkin-Lehner |
2- 3+ 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090ch |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
105469043328148500 = 22 · 39 · 53 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-774443,262048231] |
[a1,a2,a3,a4,a6] |
j |
2609758193978675403/5358382529500 |
j-invariant |
L |
5.3670714169122 |
L(r)(E,1)/r! |
Ω |
0.33544196242407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090i2 |
Quadratic twists by: -3 |