Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265v |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-341302697507475 = -1 · 36 · 52 · 117 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3451,891980] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:611:1] [-67:941:1] |
Generators of the group modulo torsion |
j |
-2565726409/192656475 |
j-invariant |
L |
7.5949523024441 |
L(r)(E,1)/r! |
Ω |
0.44536183607708 |
Real period |
R |
0.71056008912373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115g2 |
Quadratic twists by: -11 |