Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57800k |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
1670420000000 = 28 · 57 · 174 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -5 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9633,355363] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:775:1] [-57:850:1] |
Generators of the group modulo torsion |
j |
295936/5 |
j-invariant |
L |
6.1778159939772 |
L(r)(E,1)/r! |
Ω |
0.84266489782203 |
Real period |
R |
0.15273509102749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600q1 11560m1 57800f1 |
Quadratic twists by: -4 5 17 |