Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22704z |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2.7837487887116E+22 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1800216,-7973950608] |
[a1,a2,a3,a4,a6] |
Generators |
[15157728772:1171150340096:2571353] |
Generators of the group modulo torsion |
j |
157520606341736640023/6796261691190411264 |
j-invariant |
L |
5.7667929940697 |
L(r)(E,1)/r! |
Ω |
0.056785524154932 |
Real period |
R |
8.4628272784447 |
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 |
2838b2 90816cj2 68112bp2 |
Quadratic twists by: -4 8 -3 |