Atkin-Lehner |
2- 3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690bg |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
898175239200 = 25 · 36 · 52 · 172 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38633,2931977] |
[a1,a2,a3,a4,a6] |
Generators |
[133:-432:1] |
Generators of the group modulo torsion |
j |
8747036666926921/1232064800 |
j-invariant |
L |
10.569788742613 |
L(r)(E,1)/r! |
Ω |
0.85499940492664 |
Real period |
R |
0.61811673313379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999645419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12410h2 |
Quadratic twists by: -3 |