Atkin-Lehner |
3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81075m |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
-81075 = -1 · 3 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 2 4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7,14] |
[a1,a2,a3,a4,a6] |
j |
1310720/3243 |
j-invariant |
L |
2.3910470957572 |
L(r)(E,1)/r! |
Ω |
2.3910470670311 |
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 |
81075j1 |
Quadratic twists by: 5 |