Atkin-Lehner |
2- 3- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bm |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
32488350147562500 = 22 · 312 · 56 · 232 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-163148,23876331] |
[a1,a2,a3,a4,a6] |
j |
658777792914781561/44565638062500 |
j-invariant |
L |
5.8006199210066 |
L(r)(E,1)/r! |
Ω |
0.36253874518718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29670k2 |
Quadratic twists by: -3 |