Atkin-Lehner |
5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37825a |
Isogeny class |
Conductor |
37825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33566306890625 = 56 · 176 · 89 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14426,604623] |
[a1,a2,a3,a4,a6] |
Generators |
[87:56:1] |
Generators of the group modulo torsion |
j |
21247028137873/2148243641 |
j-invariant |
L |
3.666424052815 |
L(r)(E,1)/r! |
Ω |
0.63634500653001 |
Real period |
R |
2.8808460938571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1513a2 |
Quadratic twists by: 5 |