Atkin-Lehner |
5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925a |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
42453125 = 56 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11+ 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-362267,-83834484] |
[a1,a2,a3,a4,a6] |
Generators |
[42038652:-6575833501:1728] |
Generators of the group modulo torsion |
j |
336504351255877377/2717 |
j-invariant |
L |
5.2440464649898 |
L(r)(E,1)/r! |
Ω |
0.19459976201991 |
Real period |
R |
13.473928256959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000003314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2717a3 |
Quadratic twists by: 5 |