Atkin-Lehner |
2+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
96064j |
Isogeny class |
Conductor |
96064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
7655510769664 = 228 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ -1 1 1 2 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12865,549953] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1024:1] |
Generators of the group modulo torsion |
j |
898352786449/29203456 |
j-invariant |
L |
6.7501275385793 |
L(r)(E,1)/r! |
Ω |
0.73698708443175 |
Real period |
R |
1.1448856570533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96064o1 3002d1 |
Quadratic twists by: -4 8 |