Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480cv |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-14038302720 = -1 · 215 · 3 · 5 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,415,-4545] |
[a1,a2,a3,a4,a6] |
j |
240641848/428415 |
j-invariant |
L |
2.628706706377 |
L(r)(E,1)/r! |
Ω |
0.65717667659424 |
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 |
12480cb4 6240c4 37440ds3 62400eq3 |
Quadratic twists by: -4 8 -3 5 |