Atkin-Lehner |
5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5005b |
Isogeny class |
Conductor |
5005 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-11409159136375 = -1 · 53 · 74 · 113 · 134 |
Discriminant |
Eigenvalues |
1 0 5- 7+ 11+ 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,706,162175] |
[a1,a2,a3,a4,a6] |
j |
38885863610439/11409159136375 |
j-invariant |
L |
1.6668300854059 |
L(r)(E,1)/r! |
Ω |
0.55561002846862 |
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 |
80080bx1 45045r1 25025h1 35035c1 |
Quadratic twists by: -4 -3 5 -7 |