Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784dd |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-217701679104 = -1 · 219 · 33 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1504,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[4:78:1] |
Generators of the group modulo torsion |
j |
41781923/24192 |
j-invariant |
L |
7.1196078641656 |
L(r)(E,1)/r! |
Ω |
0.59366524350158 |
Real period |
R |
0.99938586913061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098t1 56784cu1 |
Quadratic twists by: -4 13 |