Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160di |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
334496563200 = 215 · 34 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86305,9730175] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:4260:1] [98:1491:1] |
Generators of the group modulo torsion |
j |
2169635008739912/10208025 |
j-invariant |
L |
11.411276258509 |
L(r)(E,1)/r! |
Ω |
0.85003690319037 |
Real period |
R |
1.678056007882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160cw2 34080d2 |
Quadratic twists by: -4 8 |