Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5746c |
Isogeny class |
Conductor |
5746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
36268642826 = 2 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23494,-1395870] |
[a1,a2,a3,a4,a6] |
Generators |
[867:24684:1] |
Generators of the group modulo torsion |
j |
297141543217/7514 |
j-invariant |
L |
4.2002092576943 |
L(r)(E,1)/r! |
Ω |
0.38561912567108 |
Real period |
R |
5.4460593083718 |
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 |
45968l2 51714u2 442d2 97682f2 |
Quadratic twists by: -4 -3 13 17 |