Atkin-Lehner |
2+ 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67146c |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-163299072 = -1 · 28 · 3 · 193 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65,-652] |
[a1,a2,a3,a4,a6] |
j |
-4330747/23808 |
j-invariant |
L |
3.0272016636371 |
L(r)(E,1)/r! |
Ω |
0.75680041195906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67146g1 |
Quadratic twists by: -19 |