Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
22176f |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
106915657508352 = 29 · 318 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53931,4794914] |
[a1,a2,a3,a4,a6] |
Generators |
[146:182:1] |
Generators of the group modulo torsion |
j |
46477380430664/286446699 |
j-invariant |
L |
4.1894008382879 |
L(r)(E,1)/r! |
Ω |
0.59816984689036 |
Real period |
R |
3.5018488979901 |
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 |
22176p3 44352cm4 7392l2 |
Quadratic twists by: -4 8 -3 |