Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160bj |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
13547110809600000 = 217 · 38 · 55 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-525665,146411775] |
[a1,a2,a3,a4,a6] |
Generators |
[355:-2160:1] |
Generators of the group modulo torsion |
j |
122558037185240498/103356253125 |
j-invariant |
L |
7.6916872474259 |
L(r)(E,1)/r! |
Ω |
0.39467142284969 |
Real period |
R |
0.24361046941989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160ct2 8520c2 |
Quadratic twists by: -4 8 |