Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5720f |
Isogeny class |
Conductor |
5720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-183040 = -1 · 28 · 5 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,21] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
-1024/715 |
j-invariant |
L |
4.8731741810046 |
L(r)(E,1)/r! |
Ω |
2.5872054972789 |
Real period |
R |
0.94178336164831 |
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 |
11440a1 45760s1 51480p1 28600h1 |
Quadratic twists by: -4 8 -3 5 |