Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648y |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
592222612923648 = 28 · 312 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29559,1566938] |
[a1,a2,a3,a4,a6] |
Generators |
[49:486:1] |
Generators of the group modulo torsion |
j |
15304721495632/3173346477 |
j-invariant |
L |
5.3218642191629 |
L(r)(E,1)/r! |
Ω |
0.48807242078559 |
Real period |
R |
1.3629801625025 |
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 |
37296z2 6216d2 |
Quadratic twists by: -4 -3 |