Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440x |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1594014818457600 = -1 · 211 · 37 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55443,5379442] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:2772:1] [-211:2772:1] |
Generators of the group modulo torsion |
j |
-12624273557282/1067664675 |
j-invariant |
L |
9.6404288318589 |
L(r)(E,1)/r! |
Ω |
0.4650815428901 |
Real period |
R |
0.21592156300415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720e2 18480be2 |
Quadratic twists by: -4 -3 |