Atkin-Lehner |
2+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192a |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1221152813796608 = 28 · 7 · 119 · 172 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42148,2889108] |
[a1,a2,a3,a4,a6] |
j |
13718000/2023 |
j-invariant |
L |
0.93184084507053 |
L(r)(E,1)/r! |
Ω |
0.46592050905954 |
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 |
115192bc2 |
Quadratic twists by: -11 |