Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300j |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1090842187500000000 = 28 · 35 · 514 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-618508,-180150488] |
[a1,a2,a3,a4,a6] |
Generators |
[-189967811046:-1111112585933:428661064] |
Generators of the group modulo torsion |
j |
6541847063933776/272710546875 |
j-invariant |
L |
6.5993364532345 |
L(r)(E,1)/r! |
Ω |
0.17067868649189 |
Real period |
R |
19.332631943629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260p2 |
Quadratic twists by: 5 |