Atkin-Lehner |
2- 3- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990br |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-602206488000000 = -1 · 29 · 36 · 56 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18193,-712969] |
[a1,a2,a3,a4,a6] |
Generators |
[39:214:1] |
Generators of the group modulo torsion |
j |
913548316680791/826072000000 |
j-invariant |
L |
11.466195040169 |
L(r)(E,1)/r! |
Ω |
0.282637017348 |
Real period |
R |
1.1269062374493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999669 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6110a2 |
Quadratic twists by: -3 |