Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296ci |
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 |
[-11:48:1] |
Generators of the group modulo torsion |
j |
277167808/8673 |
j-invariant |
L |
9.7387728551301 |
L(r)(E,1)/r! |
Ω |
2.05184020891 |
Real period |
R |
2.3731801363403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bf1 39648i1 |
Quadratic twists by: -4 8 |