Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240k |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
37440000 = 29 · 32 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1256,-17556] |
[a1,a2,a3,a4,a6] |
j |
428320044872/73125 |
j-invariant |
L |
3.2076559085618 |
L(r)(E,1)/r! |
Ω |
0.80191397714046 |
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 |
6240b3 12480ci3 18720bm3 31200bq4 |
Quadratic twists by: -4 8 -3 5 |