Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
24120x |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6785816601600 = 210 · 310 · 52 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14547,-663586] |
[a1,a2,a3,a4,a6] |
Generators |
[25055:264384:125] |
Generators of the group modulo torsion |
j |
456054288196/9090225 |
j-invariant |
L |
5.8133724414317 |
L(r)(E,1)/r! |
Ω |
0.43524347136502 |
Real period |
R |
6.6782994161861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48240r2 8040a2 120600e2 |
Quadratic twists by: -4 -3 5 |