Atkin-Lehner |
3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
109551k |
Isogeny class |
Conductor |
109551 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-864410084031 = -1 · 3 · 13 · 536 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1346,-40381] |
[a1,a2,a3,a4,a6] |
Generators |
[56867547:-543105376:804357] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
3.0967193205942 |
L(r)(E,1)/r! |
Ω |
0.4542172375121 |
Real period |
R |
13.63541089836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999952519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39a4 |
Quadratic twists by: 53 |