Atkin-Lehner |
2- 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
8930i |
Isogeny class |
Conductor |
8930 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
5712 |
Modular degree for the optimal curve |
Δ |
9363783680 = 221 · 5 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -1 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1318,-17483] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:27:1] |
Generators of the group modulo torsion |
j |
253023576627249/9363783680 |
j-invariant |
L |
5.9589826734557 |
L(r)(E,1)/r! |
Ω |
0.79420789374334 |
Real period |
R |
0.35728816336856 |
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 |
71440i1 80370p1 44650a1 |
Quadratic twists by: -4 -3 5 |