Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542m |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
169762033084176 = 24 · 32 · 132 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20670,954976] |
[a1,a2,a3,a4,a6] |
Generators |
[2710:139532:1] |
Generators of the group modulo torsion |
j |
40459583737/7033104 |
j-invariant |
L |
5.5485580553699 |
L(r)(E,1)/r! |
Ω |
0.54574479845689 |
Real period |
R |
5.0834731462935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67626bd2 1326b2 |
Quadratic twists by: -3 17 |