Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610s |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-1211760 = -1 · 24 · 34 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7,-52] |
[a1,a2,a3,a4,a6] |
j |
46268279/1211760 |
j-invariant |
L |
2.64372836241 |
L(r)(E,1)/r! |
Ω |
1.321864181205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880bt1 16830cc1 28050cn1 61710da1 |
Quadratic twists by: -4 -3 5 -11 |