Atkin-Lehner |
2- 3+ 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210x |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
426076444458000 = 24 · 316 · 53 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52789470,-147650107893] |
[a1,a2,a3,a4,a6] |
Generators |
[10567:683621:1] |
Generators of the group modulo torsion |
j |
16269178267710719239325280481/426076444458000 |
j-invariant |
L |
7.0964766337462 |
L(r)(E,1)/r! |
Ω |
0.056009633284874 |
Real period |
R |
2.6396041989972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630m4 106050n4 |
Quadratic twists by: -3 5 |