Atkin-Lehner |
3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25047f |
Isogeny class |
Conductor |
25047 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-267333869583 = -1 · 38 · 116 · 23 |
Discriminant |
Eigenvalues |
1 3- 0 2 11- 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-567,-25272] |
[a1,a2,a3,a4,a6] |
j |
-15625/207 |
j-invariant |
L |
3.3504571409083 |
L(r)(E,1)/r! |
Ω |
0.41880714261353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8349d1 207a1 |
Quadratic twists by: -3 -11 |