Atkin-Lehner |
2- 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296bi |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
6962823168 = 214 · 3 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-497,1617] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
830321872/424977 |
j-invariant |
L |
5.6060012169598 |
L(r)(E,1)/r! |
Ω |
1.1719696810343 |
Real period |
R |
2.3917006156689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296x1 19824f1 |
Quadratic twists by: -4 8 |