Atkin-Lehner |
2- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
44720i |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-21167943680 = -1 · 212 · 5 · 13 · 433 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -2 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64,6976] |
[a1,a2,a3,a4,a6] |
Generators |
[48:344:1] |
Generators of the group modulo torsion |
j |
6967871/5167955 |
j-invariant |
L |
2.6152775826574 |
L(r)(E,1)/r! |
Ω |
0.94463435029908 |
Real period |
R |
0.23071339559689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2795a1 |
Quadratic twists by: -4 |