Atkin-Lehner |
2+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736d |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
54864609211585936 = 24 · 78 · 296 |
Discriminant |
Eigenvalues |
2+ 3 -1 7+ -5 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-473683,-124974451] |
[a1,a2,a3,a4,a6] |
j |
127433263474944/594823321 |
j-invariant |
L |
3.2765899973062 |
L(r)(E,1)/r! |
Ω |
0.18203277762812 |
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 |
11368i1 90944cs1 22736o1 |
Quadratic twists by: -4 8 -7 |