Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5746j |
Isogeny class |
Conductor |
5746 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-637457666309776 = -1 · 24 · 1310 · 172 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 -2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4306,-1208069] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1209:1] |
Generators of the group modulo torsion |
j |
1829276567/132066064 |
j-invariant |
L |
6.6578355373332 |
L(r)(E,1)/r! |
Ω |
0.24426175659574 |
Real period |
R |
3.4071213347738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968u2 51714c2 442c2 97682o2 |
Quadratic twists by: -4 -3 13 17 |