Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320c |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8339513600 = 28 · 52 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-676,5376] |
[a1,a2,a3,a4,a6] |
Generators |
[192:800:27] |
Generators of the group modulo torsion |
j |
133649126224/32576225 |
j-invariant |
L |
9.3844385610191 |
L(r)(E,1)/r! |
Ω |
1.228440158785 |
Real period |
R |
3.8196563727478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39160l2 |
Quadratic twists by: -4 |