Atkin-Lehner |
3+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
107085a |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-759962434275 = -1 · 38 · 52 · 113 · 592 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ -6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,372,-41697] |
[a1,a2,a3,a4,a6] |
j |
4259406061/570971025 |
j-invariant |
L |
1.70018545521 |
L(r)(E,1)/r! |
Ω |
0.42504651136125 |
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 |
107085b2 |
Quadratic twists by: -11 |