Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736bn |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
5820416 = 212 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 2 -1 7- -4 5 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,1709] |
[a1,a2,a3,a4,a6] |
j |
9834496/29 |
j-invariant |
L |
2.4065319160668 |
L(r)(E,1)/r! |
Ω |
2.4065319160668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1421g1 90944di1 22736t1 |
Quadratic twists by: -4 8 -7 |