Atkin-Lehner |
2+ 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090v |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1770471083427416370 = 2 · 318 · 5 · 74 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-816660,-276548090] |
[a1,a2,a3,a4,a6] |
j |
82626686318593085761/2428629744070530 |
j-invariant |
L |
1.2727989131022 |
L(r)(E,1)/r! |
Ω |
0.15909985323382 |
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 |
30030bf3 |
Quadratic twists by: -3 |