Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
24120l |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
160278273803151360 = 211 · 320 · 5 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441507,111260734] |
[a1,a2,a3,a4,a6] |
j |
6374982726455618/107353739205 |
j-invariant |
L |
2.5917044043638 |
L(r)(E,1)/r! |
Ω |
0.32396305054548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48240u2 8040j2 120600bn2 |
Quadratic twists by: -4 -3 5 |