Atkin-Lehner |
5+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
128975a |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
162446783447265625 = 514 · 72 · 112 · 672 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-246442,42972591] |
[a1,a2,a3,a4,a6] |
j |
105937288135885809/10396594140625 |
j-invariant |
L |
0.62809545260892 |
L(r)(E,1)/r! |
Ω |
0.31404758365725 |
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 |
25795a2 |
Quadratic twists by: 5 |