Atkin-Lehner |
2- 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296bj |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-63970937856 = -1 · 210 · 32 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,251,11989] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:68:1] |
Generators of the group modulo torsion |
j |
1701036032/62471619 |
j-invariant |
L |
4.8517330689119 |
L(r)(E,1)/r! |
Ω |
0.83456246346422 |
Real period |
R |
2.9067525090831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296y1 19824t1 |
Quadratic twists by: -4 8 |