Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25857g |
Isogeny class |
Conductor |
25857 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-798195561698691 = -1 · 39 · 134 · 175 |
Discriminant |
Eigenvalues |
-1 3- 1 2 -3 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7573,1333518] |
[a1,a2,a3,a4,a6] |
j |
2307174311/38336139 |
j-invariant |
L |
0.74884146871925 |
L(r)(E,1)/r! |
Ω |
0.37442073435964 |
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 |
8619a1 25857c1 |
Quadratic twists by: -3 13 |