Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312ck |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
220193685504 = 216 · 32 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2529,44289] |
[a1,a2,a3,a4,a6] |
j |
27306245092/3359889 |
j-invariant |
L |
1.9232572450203 |
L(r)(E,1)/r! |
Ω |
0.96162903425209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117312bg2 29328f2 |
Quadratic twists by: -4 8 |