Atkin-Lehner |
2- 3+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158ba |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
105216 |
Modular degree for the optimal curve |
Δ |
-680403688146 = -1 · 2 · 33 · 73 · 13 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8297,295643] |
[a1,a2,a3,a4,a6] |
j |
-2339236572396723/25200136598 |
j-invariant |
L |
3.6428840761137 |
L(r)(E,1)/r! |
Ω |
0.9107210189 |
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 |
67158a1 |
Quadratic twists by: -3 |