Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85848z |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
19787620608 = 28 · 32 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-996,-10368] |
[a1,a2,a3,a4,a6] |
Generators |
[38:90:1] |
Generators of the group modulo torsion |
j |
3631696/657 |
j-invariant |
L |
10.861757366904 |
L(r)(E,1)/r! |
Ω |
0.86033926889378 |
Real period |
R |
3.1562424715273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752e1 |
Quadratic twists by: -7 |