Atkin-Lehner |
2+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79184d |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-85174111232 = -1 · 210 · 77 · 101 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,11152] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:8:1] [-2:98:1] |
Generators of the group modulo torsion |
j |
415292/707 |
j-invariant |
L |
9.9297278779118 |
L(r)(E,1)/r! |
Ω |
0.73805361118807 |
Real period |
R |
1.6817423096511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39592a1 11312c1 |
Quadratic twists by: -4 -7 |