Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810s |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
391060722908283120 = 24 · 322 · 5 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-598161870,5631028628260] |
[a1,a2,a3,a4,a6] |
j |
32467762485497628822999402721/536434462151280 |
j-invariant |
L |
1.2334765941561 |
L(r)(E,1)/r! |
Ω |
0.15418456956325 |
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 |
39270cc6 |
Quadratic twists by: -3 |