Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
15664c |
Isogeny class |
Conductor |
15664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-11027456 = -1 · 210 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 1 -3 0 11- -2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32,164] |
[a1,a2,a3,a4,a6] |
Generators |
[8:22:1] |
Generators of the group modulo torsion |
j |
-3650692/10769 |
j-invariant |
L |
4.3877260776151 |
L(r)(E,1)/r! |
Ω |
2.0008371432922 |
Real period |
R |
0.54823628353823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7832b1 62656o1 |
Quadratic twists by: -4 8 |