Atkin-Lehner |
2+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5474c |
Isogeny class |
Conductor |
5474 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-4769542696156 = -1 · 22 · 78 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -4 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2709,-88855] |
[a1,a2,a3,a4,a6] |
j |
2197354919110343/4769542696156 |
j-invariant |
L |
1.6018340695404 |
L(r)(E,1)/r! |
Ω |
0.4004585173851 |
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 |
43792h1 49266ca1 38318k1 93058c1 |
Quadratic twists by: -4 -3 -7 17 |