Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704m |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
667565712 = 24 · 36 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 11+ 0 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2860,-59821] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:3:1] |
Generators of the group modulo torsion |
j |
161753494256896/41722857 |
j-invariant |
L |
4.7226692200434 |
L(r)(E,1)/r! |
Ω |
0.65283302388329 |
Real period |
R |
1.2056858459639 |
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 |
11352c1 90816bz1 68112y1 |
Quadratic twists by: -4 8 -3 |