Atkin-Lehner |
2- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68150y |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
323805184000 = 216 · 53 · 292 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -5 -3 -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2773,47931] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:312:1] [-25:332:1] |
Generators of the group modulo torsion |
j |
18865707481061/2590441472 |
j-invariant |
L |
10.706047420398 |
L(r)(E,1)/r! |
Ω |
0.92779592800904 |
Real period |
R |
0.18030041509524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68150k1 |
Quadratic twists by: 5 |