Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400eb |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1350253800000000 = -1 · 29 · 39 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64875,-6601250] |
[a1,a2,a3,a4,a6] |
j |
-207108680/9261 |
j-invariant |
L |
1.1934566863956 |
L(r)(E,1)/r! |
Ω |
0.14918208582112 |
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 |
50400bw1 100800gr1 16800x1 50400bk1 |
Quadratic twists by: -4 8 -3 5 |