Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840cl |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4293918720 = 220 · 32 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89456640,-325691746380] |
[a1,a2,a3,a4,a6] |
j |
19328649688935739391016961/1048320 |
j-invariant |
L |
3.1417844275253 |
L(r)(E,1)/r! |
Ω |
0.049090381680082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2730v4 87360eo4 65520de4 109200cz4 |
Quadratic twists by: -4 8 -3 5 |