Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880cj |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
200087533810483200 = 217 · 32 · 52 · 74 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-641856,196539444] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:19680:1] |
Generators of the group modulo torsion |
j |
7139655496778995009/48849495559200 |
j-invariant |
L |
7.3237225787876 |
L(r)(E,1)/r! |
Ω |
0.31924432279214 |
Real period |
R |
1.4338004733855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000639 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8610j3 |
Quadratic twists by: -4 |