Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25857f |
Isogeny class |
Conductor |
25857 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
818857416853593 = 310 · 138 · 17 |
Discriminant |
Eigenvalues |
-1 3- 0 2 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50225,4120328] |
[a1,a2,a3,a4,a6] |
j |
3981876625/232713 |
j-invariant |
L |
0.98849834192327 |
L(r)(E,1)/r! |
Ω |
0.49424917096155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8619j1 1989a1 |
Quadratic twists by: -3 13 |