Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27048c |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-10604809329408 = -1 · 28 · 37 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 1 6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,327,-156771] |
[a1,a2,a3,a4,a6] |
Generators |
[61:294:1] |
Generators of the group modulo torsion |
j |
128000/352107 |
j-invariant |
L |
4.7944591420579 |
L(r)(E,1)/r! |
Ω |
0.33458483084752 |
Real period |
R |
1.79119714196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54096n1 81144bl1 3864c1 |
Quadratic twists by: -4 -3 -7 |