Atkin-Lehner |
2+ 3- 11+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25806f |
Isogeny class |
Conductor |
25806 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
-845611008 = -1 · 216 · 3 · 11 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,183,1036] |
[a1,a2,a3,a4,a6] |
j |
683099533943/845611008 |
j-invariant |
L |
2.1229061466855 |
L(r)(E,1)/r! |
Ω |
1.0614530733429 |
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 |
77418z1 |
Quadratic twists by: -3 |