Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9016o |
Isogeny class |
Conductor |
9016 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1122245340272 = -1 · 24 · 78 · 233 |
Discriminant |
Eigenvalues |
2- 3 4 7- 2 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2597,1715] |
[a1,a2,a3,a4,a6] |
j |
1029037824/596183 |
j-invariant |
L |
6.2605159563573 |
L(r)(E,1)/r! |
Ω |
0.52170966302977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18032i1 72128ba1 81144s1 1288h1 |
Quadratic twists by: -4 8 -3 -7 |