Atkin-Lehner |
3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81627y |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-8273956703103 = -1 · 32 · 72 · 138 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1771,-135240] |
[a1,a2,a3,a4,a6] |
j |
127263527/1714167 |
j-invariant |
L |
1.4435249237279 |
L(r)(E,1)/r! |
Ω |
0.36088124190762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6279h1 |
Quadratic twists by: 13 |