Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
15664f |
Isogeny class |
Conductor |
15664 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
62192117030912 = 213 · 112 · 894 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23291,1314474] |
[a1,a2,a3,a4,a6] |
j |
341136485041617/15183622322 |
j-invariant |
L |
1.2317603218559 |
L(r)(E,1)/r! |
Ω |
0.61588016092793 |
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 |
1958a3 62656m4 |
Quadratic twists by: -4 8 |