Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736bh |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-4793362853888 = -1 · 212 · 79 · 29 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 0 -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1829,108947] |
[a1,a2,a3,a4,a6] |
j |
-4096/29 |
j-invariant |
L |
1.32506840697 |
L(r)(E,1)/r! |
Ω |
0.662534203485 |
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 |
1421i1 90944df1 22736bk1 |
Quadratic twists by: -4 8 -7 |