Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
105800d |
Isogeny class |
Conductor |
105800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-3041750000 = -1 · 24 · 56 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -6 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,192,2513] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:23:1] [28:175:1] |
Generators of the group modulo torsion |
j |
256 |
j-invariant |
L |
11.81675801041 |
L(r)(E,1)/r! |
Ω |
1.0141153506616 |
Real period |
R |
1.4565352456695 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4232f1 105800c1 |
Quadratic twists by: 5 -23 |