Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13860u |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-215550720 = -1 · 28 · 37 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-1244] |
[a1,a2,a3,a4,a6] |
Generators |
[20:54:1] |
Generators of the group modulo torsion |
j |
-4194304/1155 |
j-invariant |
L |
5.0148758010172 |
L(r)(E,1)/r! |
Ω |
0.63221960841712 |
Real period |
R |
1.3220289633146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55440el1 4620i1 69300by1 97020bq1 |
Quadratic twists by: -4 -3 5 -7 |