Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692k |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
4034450334096 = 24 · 39 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 13- 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4941,-92367] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2457:1] |
Generators of the group modulo torsion |
j |
42360102144/12810707 |
j-invariant |
L |
8.2125822361012 |
L(r)(E,1)/r! |
Ω |
0.58278887867706 |
Real period |
R |
0.78288139216317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55692i1 |
Quadratic twists by: -3 |