Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18200h |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
-11830000 = -1 · 24 · 54 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 3 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-163] |
[a1,a2,a3,a4,a6] |
j |
-6400/1183 |
j-invariant |
L |
4.0284549137193 |
L(r)(E,1)/r! |
Ω |
1.0071137284298 |
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 |
36400z1 18200v1 127400z1 |
Quadratic twists by: -4 5 -7 |