Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190cq |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
17963628540000 = 25 · 3 · 54 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10469951,-13040497095] |
[a1,a2,a3,a4,a6] |
Generators |
[4938:233481:1] |
Generators of the group modulo torsion |
j |
71647584155243142409/10140000 |
j-invariant |
L |
9.0778210463119 |
L(r)(E,1)/r! |
Ω |
0.083929259651814 |
Real period |
R |
2.7040096278574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390g4 |
Quadratic twists by: -11 |