Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ec |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
387243674298961920 = 212 · 36 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-508563,136344978] |
[a1,a2,a3,a4,a6] |
j |
2749884201/73205 |
j-invariant |
L |
2.3970819834353 |
L(r)(E,1)/r! |
Ω |
0.29963524721507 |
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 |
5445e3 9680w3 7920y3 |
Quadratic twists by: -4 -3 -11 |