Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
15664f |
Isogeny class |
Conductor |
15664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
705757184 = 216 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3611,-83510] |
[a1,a2,a3,a4,a6] |
j |
1271294679537/172304 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
1958a1 62656m1 |
Quadratic twists by: -4 8 |