Atkin-Lehner |
2+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66470g |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
-11522090598400 = -1 · 217 · 52 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 1 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5579,-227515] |
[a1,a2,a3,a4,a6] |
j |
-66456695167209/39868825600 |
j-invariant |
L |
0.53765538580203 |
L(r)(E,1)/r! |
Ω |
0.26882769443856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66470f1 |
Quadratic twists by: 17 |