Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720t |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
4707123200 = 216 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-428,848] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:60:1] [-14:64:1] |
Generators of the group modulo torsion |
j |
132304644/71825 |
j-invariant |
L |
8.1007803052644 |
L(r)(E,1)/r! |
Ω |
1.1967823865471 |
Real period |
R |
1.6921999346707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720a1 17680c1 |
Quadratic twists by: -4 8 |