Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550bc |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-35312187500 = -1 · 22 · 57 · 173 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 3 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-213,9031] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:102:1] |
Generators of the group modulo torsion |
j |
-68417929/2259980 |
j-invariant |
L |
6.0712042952445 |
L(r)(E,1)/r! |
Ω |
0.96772552892303 |
Real period |
R |
1.5684210330798 |
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 |
3910b1 |
Quadratic twists by: 5 |