Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17568p |
Isogeny class |
Conductor |
17568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-614739456 = -1 · 29 · 39 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 2 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,1726] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:54:1] [-7:54:1] |
Generators of the group modulo torsion |
j |
-3112136/1647 |
j-invariant |
L |
5.9688317258713 |
L(r)(E,1)/r! |
Ω |
1.5125274391843 |
Real period |
R |
0.49328292922484 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17568o1 35136cb1 5856f1 |
Quadratic twists by: -4 8 -3 |