Atkin-Lehner |
2+ 3- 5- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
31110j |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-15443235676170 = -1 · 2 · 38 · 5 · 17 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5373,-242774] |
[a1,a2,a3,a4,a6] |
j |
-17149759610928841/15443235676170 |
j-invariant |
L |
2.1501882104753 |
L(r)(E,1)/r! |
Ω |
0.26877352630957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93330bm3 |
Quadratic twists by: -3 |