Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160d |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29733027840000 = 220 · 32 · 54 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9921,278721] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:781:1] |
Generators of the group modulo torsion |
j |
411996867121/113422500 |
j-invariant |
L |
3.3572139229566 |
L(r)(E,1)/r! |
Ω |
0.6172610072989 |
Real period |
R |
2.7194443548337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998334 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68160db2 2130o2 |
Quadratic twists by: -4 8 |