Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190cz |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1147660300163520 = 26 · 32 · 5 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-274860275,1753922530977] |
[a1,a2,a3,a4,a6] |
Generators |
[6978078:-3443543:729] |
Generators of the group modulo torsion |
j |
1296294060988412126189641/647824320 |
j-invariant |
L |
11.227718747181 |
L(r)(E,1)/r! |
Ω |
0.20791421664567 |
Real period |
R |
4.5001407023766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290o4 |
Quadratic twists by: -11 |