Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350da |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
24985162800 = 24 · 37 · 52 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -5 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-933,-7983] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:45:1] |
Generators of the group modulo torsion |
j |
125801065/34992 |
j-invariant |
L |
8.1930817772502 |
L(r)(E,1)/r! |
Ω |
0.88196889885533 |
Real period |
R |
0.11058971348196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050bv1 25350s1 25350bi1 |
Quadratic twists by: -3 5 13 |