Atkin-Lehner |
2- 3- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bx |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.8824236827223E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-790124,-171565405] |
[a1,a2,a3,a4,a6] |
Generators |
[3374539:331615089:343] |
Generators of the group modulo torsion |
j |
74830979430903457657/25821998391252492 |
j-invariant |
L |
15.262312744891 |
L(r)(E,1)/r! |
Ω |
0.16463808493128 |
Real period |
R |
11.587775027888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36894o2 |
Quadratic twists by: -3 |