Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ha |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-64324590750000 = -1 · 24 · 37 · 56 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7350,300125] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:441:1] [-10:475:1] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
10.866614612996 |
L(r)(E,1)/r! |
Ω |
0.42090875554191 |
Real period |
R |
1.6135644706155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400n1 3528l1 1800s1 |
Quadratic twists by: -3 5 -7 |