Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17200l |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-2800681779200 = -1 · 215 · 52 · 434 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -1 -4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5888,-193612] |
[a1,a2,a3,a4,a6] |
j |
-220496102185/27350408 |
j-invariant |
L |
1.0824970494102 |
L(r)(E,1)/r! |
Ω |
0.27062426235255 |
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 |
2150m1 68800di1 17200bd1 |
Quadratic twists by: -4 8 5 |