Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648y |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
147879796176 = 24 · 39 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27894,1793045] |
[a1,a2,a3,a4,a6] |
Generators |
[98:25:1] |
Generators of the group modulo torsion |
j |
205782571927552/12678309 |
j-invariant |
L |
5.3218642191629 |
L(r)(E,1)/r! |
Ω |
0.97614484157119 |
Real period |
R |
2.7259603250051 |
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 |
37296z1 6216d1 |
Quadratic twists by: -4 -3 |