Atkin-Lehner |
3- 13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19227f |
Isogeny class |
Conductor |
19227 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
-37983111543 = -1 · 35 · 13 · 17 · 294 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,838,839] |
[a1,a2,a3,a4,a6] |
Generators |
[63:520:1] |
Generators of the group modulo torsion |
j |
65192936149223/37983111543 |
j-invariant |
L |
6.0952448868123 |
L(r)(E,1)/r! |
Ω |
0.69624537573067 |
Real period |
R |
3.5017797456339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57681m1 |
Quadratic twists by: -3 |