Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2130i |
Isogeny class |
Conductor |
2130 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
1209840000 = 27 · 3 · 54 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2011,33833] |
[a1,a2,a3,a4,a6] |
Generators |
[7:138:1] |
Generators of the group modulo torsion |
j |
899442534243889/1209840000 |
j-invariant |
L |
3.5451494971263 |
L(r)(E,1)/r! |
Ω |
1.5339611975108 |
Real period |
R |
0.33015823932362 |
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 |
17040t2 68160bp2 6390m2 10650l2 |
Quadratic twists by: -4 8 -3 5 |