Atkin-Lehner |
2+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720k |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
347136 |
Modular degree for the optimal curve |
Δ |
568000000000000 = 215 · 512 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -2 -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6443585,-6297782017] |
[a1,a2,a3,a4,a6] |
j |
902935088231125590152/17333984375 |
j-invariant |
L |
2.2742012861693 |
L(r)(E,1)/r! |
Ω |
0.094758386923721 |
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 |
22720v1 11360b1 113600f1 |
Quadratic twists by: -4 8 5 |