Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856i |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
15559745813568 = 26 · 37 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10245,351124] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:306:1] |
Generators of the group modulo torsion |
j |
2548895896000/333499353 |
j-invariant |
L |
5.1530087034149 |
L(r)(E,1)/r! |
Ω |
0.67301654379252 |
Real period |
R |
1.9141463723849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856bb1 107712ce1 17952s1 |
Quadratic twists by: -4 8 -3 |