Atkin-Lehner |
2+ 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
9646b |
Isogeny class |
Conductor |
9646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
135580971675968 = 26 · 72 · 138 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13926,292472] |
[a1,a2,a3,a4,a6] |
j |
298646929649265625/135580971675968 |
j-invariant |
L |
1.0461833730961 |
L(r)(E,1)/r! |
Ω |
0.52309168654804 |
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 |
77168o2 86814bc2 67522n2 125398u2 |
Quadratic twists by: -4 -3 -7 13 |