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 |
14251684921344 = 217 · 34 · 134 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10049,-339231] |
[a1,a2,a3,a4,a6] |
j |
856299206306/108731727 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312bg4 29328f4 |
Quadratic twists by: -4 8 |