Atkin-Lehner |
3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355b |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14341110331640625 = 32 · 58 · 132 · 176 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2348131,-1385908456] |
[a1,a2,a3,a4,a6] |
Generators |
[-7066:3941:8] [15886:330183:8] |
Generators of the group modulo torsion |
j |
59319456301170001/594140625 |
j-invariant |
L |
4.9407467133094 |
L(r)(E,1)/r! |
Ω |
0.12196051067353 |
Real period |
R |
20.255518306793 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
195a5 |
Quadratic twists by: 17 |