Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160bb |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
385340040806400 = 222 · 36 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18241,-91105] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:840:1] |
Generators of the group modulo torsion |
j |
2560669500241/1469955600 |
j-invariant |
L |
7.3589542247972 |
L(r)(E,1)/r! |
Ω |
0.44614112797676 |
Real period |
R |
2.7491129911241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68160bv2 2130l2 |
Quadratic twists by: -4 8 |