Atkin-Lehner |
3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74589j |
Isogeny class |
Conductor |
74589 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2943101509209 = 32 · 236 · 472 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24874,-1509781] |
[a1,a2,a3,a4,a6] |
Generators |
[1634:64919:1] |
Generators of the group modulo torsion |
j |
11497268593/19881 |
j-invariant |
L |
2.6247794416277 |
L(r)(E,1)/r! |
Ω |
0.38019654364742 |
Real period |
R |
6.9037435661356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983041 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
141c2 |
Quadratic twists by: -23 |