Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312bj |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8445442916352 = 221 · 3 · 134 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385249,-92164993] |
[a1,a2,a3,a4,a6] |
j |
24121786971872953/32216808 |
j-invariant |
L |
0.76651994730263 |
L(r)(E,1)/r! |
Ω |
0.19163027177059 |
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 |
117312ce4 3666a3 |
Quadratic twists by: -4 8 |