Atkin-Lehner |
2- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550q |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9487531250000 = 24 · 59 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-266380,-52850753] |
[a1,a2,a3,a4,a6] |
j |
133784870131851849/607202000 |
j-invariant |
L |
1.6811806535986 |
L(r)(E,1)/r! |
Ω |
0.21014758169981 |
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 |
5510a2 |
Quadratic twists by: 5 |