Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ev |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
33359413248 = 214 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1020,8944] |
[a1,a2,a3,a4,a6] |
Generators |
[5:63:1] [-24:140:1] |
Generators of the group modulo torsion |
j |
9826000/2793 |
j-invariant |
L |
10.526734721752 |
L(r)(E,1)/r! |
Ω |
1.085163970194 |
Real period |
R |
1.2125742066299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bs1 19152z1 25536dc1 |
Quadratic twists by: -4 8 -3 |