Atkin-Lehner |
3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525r |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
80133046875 = 37 · 57 · 7 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8442005,-9438856878] |
[a1,a2,a3,a4,a6] |
Generators |
[3858110:122198661:1000] |
Generators of the group modulo torsion |
j |
5841345907900903681/7035 |
j-invariant |
L |
4.2958262934823 |
L(r)(E,1)/r! |
Ω |
0.088570308512616 |
Real period |
R |
12.12546952859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999661348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35175c4 21105e4 |
Quadratic twists by: -3 5 |