Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160ca |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
242812393213132800 = 219 · 36 · 52 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12448321,16909098721] |
[a1,a2,a3,a4,a6] |
Generators |
[264:116795:1] |
Generators of the group modulo torsion |
j |
813797144010554645521/926255772450 |
j-invariant |
L |
4.8233950481975 |
L(r)(E,1)/r! |
Ω |
0.26343838253486 |
Real period |
R |
4.5773465145733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995738 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68160t4 17040z4 |
Quadratic twists by: -4 8 |