Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296bf |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
35524608 = 212 · 3 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217,-1127] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:4:1] [56:399:1] |
Generators of the group modulo torsion |
j |
277167808/8673 |
j-invariant |
L |
10.20859532338 |
L(r)(E,1)/r! |
Ω |
1.2458048079014 |
Real period |
R |
4.0971889250315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296ci1 39648k1 |
Quadratic twists by: -4 8 |