Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200ec |
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 |
7.4266220545378 |
L(r)(E,1)/r! |
Ω |
0.82518022379479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bo1 18800o1 75200cn1 |
Quadratic twists by: -4 8 5 |