Atkin-Lehner |
2+ 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
101592c |
Isogeny class |
Conductor |
101592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2991087385565184 = 211 · 36 · 176 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46611,-2842290] |
[a1,a2,a3,a4,a6] |
Generators |
[-1054:8047:8] |
Generators of the group modulo torsion |
j |
7501212918306/2003418227 |
j-invariant |
L |
4.4273799647131 |
L(r)(E,1)/r! |
Ω |
0.33139752834589 |
Real period |
R |
6.6798626590177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11288c2 |
Quadratic twists by: -3 |