Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840x |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.3207235198976E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26066496,-48138568704] |
[a1,a2,a3,a4,a6] |
j |
478202393398338853167169/32244226560000000000 |
j-invariant |
L |
0.2683960384744 |
L(r)(E,1)/r! |
Ω |
0.067099009618602 |
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 |
2730z2 87360gw2 65520dh2 109200gf2 |
Quadratic twists by: -4 8 -3 5 |