Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312ck |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-24943992373248 = -1 · 217 · 3 · 13 · 474 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3711,222753] |
[a1,a2,a3,a4,a6] |
j |
43109165374/190307559 |
j-invariant |
L |
1.9232572450203 |
L(r)(E,1)/r! |
Ω |
0.48081451712605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117312bg3 29328f3 |
Quadratic twists by: -4 8 |