Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19550bf |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-14388800 = -1 · 26 · 52 · 17 · 232 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 0 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-189] |
[a1,a2,a3,a4,a6] |
Generators |
[9:18:1] |
Generators of the group modulo torsion |
j |
-9765625/575552 |
j-invariant |
L |
5.3052124429958 |
L(r)(E,1)/r! |
Ω |
0.97738240612365 |
Real period |
R |
0.45233169141003 |
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 |
19550s1 |
Quadratic twists by: 5 |