Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6650u |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
667340800 = 212 · 52 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2463,-48059] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:18:1] |
Generators of the group modulo torsion |
j |
66097945305625/26693632 |
j-invariant |
L |
4.8767864239666 |
L(r)(E,1)/r! |
Ω |
0.67770869773012 |
Real period |
R |
0.59966600698066 |
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 |
53200ce2 59850bp2 6650o2 46550bz2 |
Quadratic twists by: -4 -3 5 -7 |