Atkin-Lehner |
5+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40825a |
Isogeny class |
Conductor |
40825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17088 |
Modular degree for the optimal curve |
Δ |
127578125 = 57 · 23 · 71 |
Discriminant |
Eigenvalues |
0 2 5+ 2 -3 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-533,-4532] |
[a1,a2,a3,a4,a6] |
j |
1073741824/8165 |
j-invariant |
L |
3.9756575970119 |
L(r)(E,1)/r! |
Ω |
0.99391439922731 |
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 |
8165a1 |
Quadratic twists by: 5 |