Atkin-Lehner |
2- 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
129228a |
Isogeny class |
Conductor |
129228 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
198965631744 = 28 · 38 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4924,132904] |
[a1,a2,a3,a4,a6] |
Generators |
[10468:122715:64] |
Generators of the group modulo torsion |
j |
38756809712/583929 |
j-invariant |
L |
5.7028410072074 |
L(r)(E,1)/r! |
Ω |
1.0069967836775 |
Real period |
R |
5.6632167980283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999835739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129228b2 |
Quadratic twists by: -11 |