Atkin-Lehner |
2+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
55744g |
Isogeny class |
Conductor |
55744 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-832781467648 = -1 · 214 · 132 · 673 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 2 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6176,191904] |
[a1,a2,a3,a4,a6] |
Generators |
[418:871:8] |
Generators of the group modulo torsion |
j |
-1590104383488/50828947 |
j-invariant |
L |
5.9442132506272 |
L(r)(E,1)/r! |
Ω |
0.88752191731609 |
Real period |
R |
1.1162566119441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55744i1 3484a1 |
Quadratic twists by: -4 8 |