Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200bo |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
-18800000000 = -1 · 210 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 -6 2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,-5000] |
[a1,a2,a3,a4,a6] |
j |
34560/47 |
j-invariant |
L |
0.65114160976223 |
L(r)(E,1)/r! |
Ω |
0.65114163658468 |
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 |
75200ec1 9400c1 75200y1 |
Quadratic twists by: -4 8 5 |