Atkin-Lehner |
2- 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23664i |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-98820864 = -1 · 28 · 33 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -5 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-269,1857] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:58:1] |
Generators of the group modulo torsion |
j |
-8440225792/386019 |
j-invariant |
L |
5.9605733039181 |
L(r)(E,1)/r! |
Ω |
1.8754419999107 |
Real period |
R |
0.79455580393874 |
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 |
5916b1 94656br1 70992bg1 |
Quadratic twists by: -4 8 -3 |