Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4230k |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-15985745280000 = -1 · 210 · 312 · 54 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2916,181840] |
[a1,a2,a3,a4,a6] |
Generators |
[41:587:1] |
Generators of the group modulo torsion |
j |
3760754329151/21928320000 |
j-invariant |
L |
2.8921458143 |
L(r)(E,1)/r! |
Ω |
0.5039188409727 |
Real period |
R |
0.71741359400191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33840cq1 1410j1 21150cd1 |
Quadratic twists by: -4 -3 5 |