Atkin-Lehner |
2- 3- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bw |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
180416530008 = 23 · 38 · 11 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7810169,-8399197375] |
[a1,a2,a3,a4,a6] |
Generators |
[16070642:1043021337:2744] |
Generators of the group modulo torsion |
j |
72273223604993558667337/247484952 |
j-invariant |
L |
13.347216993369 |
L(r)(E,1)/r! |
Ω |
0.090309710722938 |
Real period |
R |
12.31615152269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36894n2 |
Quadratic twists by: -3 |