Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960fw |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3248750592000 = -1 · 221 · 36 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,89296] |
[a1,a2,a3,a4,a6] |
Generators |
[42:320:1] |
Generators of the group modulo torsion |
j |
-1771561/17000 |
j-invariant |
L |
5.4668987812754 |
L(r)(E,1)/r! |
Ω |
0.67955095313862 |
Real period |
R |
0.67040579714214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960db1 12240bt1 5440q1 |
Quadratic twists by: -4 8 -3 |