Atkin-Lehner |
3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4935i |
Isogeny class |
Conductor |
4935 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
93687890625 = 36 · 58 · 7 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5205,143352] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:228:1] |
Generators of the group modulo torsion |
j |
15595206456730321/93687890625 |
j-invariant |
L |
2.8438067654147 |
L(r)(E,1)/r! |
Ω |
1.0754842979836 |
Real period |
R |
0.88140346655813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78960ci1 14805e1 24675k1 34545f1 |
Quadratic twists by: -4 -3 5 -7 |