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 |
Δ |
-2322982937556225 = -1 · 324 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,32795,-386998] |
[a1,a2,a3,a4,a6] |
Generators |
[122:2270:1] |
Generators of the group modulo torsion |
j |
3900729099432901679/2322982937556225 |
j-invariant |
L |
2.8438067654147 |
L(r)(E,1)/r! |
Ω |
0.26887107449589 |
Real period |
R |
3.5256138662325 |
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 |
78960ci3 14805e4 24675k3 34545f3 |
Quadratic twists by: -4 -3 5 -7 |