Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2130f |
Isogeny class |
Conductor |
2130 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
7470808558272720 = 24 · 36 · 5 · 716 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-303584,-64272994] |
[a1,a2,a3,a4,a6] |
Generators |
[1416:47722:1] |
Generators of the group modulo torsion |
j |
3094270610517508996729/7470808558272720 |
j-invariant |
L |
2.6618331923098 |
L(r)(E,1)/r! |
Ω |
0.20341970321239 |
Real period |
R |
6.5427123092659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
17040l2 68160p2 6390r2 10650w2 |
Quadratic twists by: -4 8 -3 5 |