Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496x |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
396052807827456 = 214 · 39 · 134 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 2 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49059,4071330] |
[a1,a2,a3,a4,a6] |
Generators |
[145:80:1] |
Generators of the group modulo torsion |
j |
161967748851/4912492 |
j-invariant |
L |
6.4396803248705 |
L(r)(E,1)/r! |
Ω |
0.53095565895179 |
Real period |
R |
3.0321177546959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10062a1 80496z1 |
Quadratic twists by: -4 -3 |