Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730y |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8996715000 = 23 · 32 · 54 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2776,55880] |
[a1,a2,a3,a4,a6] |
Generators |
[38:56:1] |
Generators of the group modulo torsion |
j |
2365875436837249/8996715000 |
j-invariant |
L |
4.9748694168706 |
L(r)(E,1)/r! |
Ω |
1.3063881278131 |
Real period |
R |
0.63468496472004 |
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 |
21840bg3 87360y3 8190p3 13650l4 |
Quadratic twists by: -4 8 -3 5 |