Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22022h |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3535488 |
Modular degree for the optimal curve |
Δ |
7.3196937427588E+20 |
Discriminant |
Eigenvalues |
2+ -3 -4 7- 11- 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2257459,-99262091] |
[a1,a2,a3,a4,a6] |
Generators |
[-730:34413:1] |
Generators of the group modulo torsion |
j |
49051984566321/28220588032 |
j-invariant |
L |
1.8201659459617 |
L(r)(E,1)/r! |
Ω |
0.13397811108856 |
Real period |
R |
3.3963867888064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22022r1 |
Quadratic twists by: -11 |