Atkin-Lehner |
2- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498x |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
1176 |
Product of Tamagawa factors cp |
Δ |
2.0440266188969E+27 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68035187822,6830408394855211] |
[a1,a2,a3,a4,a6] |
Generators |
[111024657:780967567:729] |
Generators of the group modulo torsion |
j |
19659314274150439420410285566713/1153799738703254631296 |
j-invariant |
L |
18.930594156874 |
L(r)(E,1)/r! |
Ω |
0.03505005086819 |
Real period |
R |
1.8370808119536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10318d2 |
Quadratic twists by: -11 |