Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
22176k |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1756848643748352 = -1 · 29 · 314 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24699,-2509778] |
[a1,a2,a3,a4,a6] |
Generators |
[701:18018:1] |
Generators of the group modulo torsion |
j |
-4464412682696/4706920449 |
j-invariant |
L |
5.7349340309523 |
L(r)(E,1)/r! |
Ω |
0.1827566666933 |
Real period |
R |
3.9225204028921 |
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 |
22176i2 44352bp3 7392e4 |
Quadratic twists by: -4 8 -3 |