Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160d |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
999227955609600 = 219 · 3 · 52 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57921,-5126079] |
[a1,a2,a3,a4,a6] |
Generators |
[323:3124:1] |
Generators of the group modulo torsion |
j |
81978400815121/3811752150 |
j-invariant |
L |
3.3572139229566 |
L(r)(E,1)/r! |
Ω |
0.30863050364945 |
Real period |
R |
5.4388887096674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160db3 2130o3 |
Quadratic twists by: -4 8 |