Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160g |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25087242240000 = 215 · 35 · 54 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8001,-130815] |
[a1,a2,a3,a4,a6] |
j |
1728864144008/765601875 |
j-invariant |
L |
2.1035737044972 |
L(r)(E,1)/r! |
Ω |
0.52589342677498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160x2 34080bj2 |
Quadratic twists by: -4 8 |