Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bx |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9390654000 = -1 · 24 · 34 · 53 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,377,3592] |
[a1,a2,a3,a4,a6] |
Generators |
[1:63:1] |
Generators of the group modulo torsion |
j |
2955053056/4695327 |
j-invariant |
L |
5.4766343371158 |
L(r)(E,1)/r! |
Ω |
0.88322550785458 |
Real period |
R |
0.51672669177194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200cf1 54600bd1 |
Quadratic twists by: -4 5 |