Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17080g |
Isogeny class |
Conductor |
17080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
656145280000 = 210 · 54 · 75 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -5 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3536,-69764] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:100:1] |
Generators of the group modulo torsion |
j |
4776209186116/640766875 |
j-invariant |
L |
2.8889650345448 |
L(r)(E,1)/r! |
Ω |
0.62459539126353 |
Real period |
R |
1.1563345947448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34160e1 85400f1 119560u1 |
Quadratic twists by: -4 5 -7 |