Atkin-Lehner |
3- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115311r |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
176484836695041063 = 310 · 73 · 176 · 192 |
Discriminant |
Eigenvalues |
1 3- 0 7- 2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-556476,158448127] |
[a1,a2,a3,a4,a6] |
Generators |
[77:10734:1] |
Generators of the group modulo torsion |
j |
789529529265625/7311624327 |
j-invariant |
L |
9.7841343353007 |
L(r)(E,1)/r! |
Ω |
0.32241431896998 |
Real period |
R |
1.0115487847531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999581654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
399a2 |
Quadratic twists by: 17 |