Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5720g |
Isogeny class |
Conductor |
5720 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-8106663136000 = -1 · 28 · 53 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- -2 11+ 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5585,-209275] |
[a1,a2,a3,a4,a6] |
Generators |
[115:810:1] |
Generators of the group modulo torsion |
j |
-75271580947456/31666652875 |
j-invariant |
L |
5.3774191939544 |
L(r)(E,1)/r! |
Ω |
0.27055966503209 |
Real period |
R |
3.3125282448122 |
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 |
11440g1 45760l1 51480k1 28600e1 |
Quadratic twists by: -4 8 -3 5 |