Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054o |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.1159988307322E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31568661,68265861310] |
[a1,a2,a3,a4,a6] |
j |
1963975500122834382625/62995224591882 |
j-invariant |
L |
3.1484574093113 |
L(r)(E,1)/r! |
Ω |
0.1749143005173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162bw4 1914m4 |
Quadratic twists by: -3 -11 |