Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550g |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3549859804687500 = 22 · 314 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100692,-11934284] |
[a1,a2,a3,a4,a6] |
j |
9912050027641/311647500 |
j-invariant |
L |
2.1482098105756 |
L(r)(E,1)/r! |
Ω |
0.26852622632195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400ft3 2850p4 1710n3 |
Quadratic twists by: -4 -3 5 |