Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68355bh |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
134599206144375 = 310 · 54 · 76 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74979,7901410] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:4052:1] |
Generators of the group modulo torsion |
j |
543538277281/1569375 |
j-invariant |
L |
8.2712372482416 |
L(r)(E,1)/r! |
Ω |
0.58569715976324 |
Real period |
R |
1.7652546864008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785e4 1395a3 |
Quadratic twists by: -3 -7 |