Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22022r |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
321408 |
Modular degree for the optimal curve |
Δ |
413177629376512 = 218 · 72 · 114 · 133 |
Discriminant |
Eigenvalues |
2- -3 -4 7+ 11- 13- -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18657,79665] |
[a1,a2,a3,a4,a6] |
Generators |
[-53210:-932853:1000] [-103:1000:1] |
Generators of the group modulo torsion |
j |
49051984566321/28220588032 |
j-invariant |
L |
5.6126308646336 |
L(r)(E,1)/r! |
Ω |
0.45342588230646 |
Real period |
R |
0.038204556562308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22022h1 |
Quadratic twists by: -11 |