Atkin-Lehner |
2- 5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61880k |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
176017650099200 = 210 · 52 · 72 · 134 · 173 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128393123,-559964838578] |
[a1,a2,a3,a4,a6] |
j |
228585692303743830042801636/171892236425 |
j-invariant |
L |
1.0764041262065 |
L(r)(E,1)/r! |
Ω |
0.044850172115379 |
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 |
123760f4 |
Quadratic twists by: -4 |