Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840cl |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
2.3220521755222E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-147488320,688981977908] |
[a1,a2,a3,a4,a6] |
j |
86623684689189325642735681/56690726941459561860 |
j-invariant |
L |
3.1417844275253 |
L(r)(E,1)/r! |
Ω |
0.098180763360165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2730v7 87360eo8 65520de8 109200cz8 |
Quadratic twists by: -4 8 -3 5 |