Atkin-Lehner |
2- 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67146g |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
535040 |
Modular degree for the optimal curve |
Δ |
-7682548708722432 = -1 · 28 · 3 · 199 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23292,4423773] |
[a1,a2,a3,a4,a6] |
Generators |
[1389:50825:1] |
Generators of the group modulo torsion |
j |
-4330747/23808 |
j-invariant |
L |
8.5242320403582 |
L(r)(E,1)/r! |
Ω |
0.36046979226282 |
Real period |
R |
5.9118906933088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67146c1 |
Quadratic twists by: -19 |