Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890be |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-29659501017169920 = -1 · 219 · 311 · 5 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2803,-8286411] |
[a1,a2,a3,a4,a6] |
Generators |
[239:2328:1] |
Generators of the group modulo torsion |
j |
3342032927351/40685186580480 |
j-invariant |
L |
8.0716321052227 |
L(r)(E,1)/r! |
Ω |
0.17192760974358 |
Real period |
R |
0.41182326970224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630a1 99450bb1 |
Quadratic twists by: -3 5 |