Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2496s |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16845963264 = -1 · 216 · 32 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,543,-4095] |
[a1,a2,a3,a4,a6] |
j |
269676572/257049 |
j-invariant |
L |
1.3480363968446 |
L(r)(E,1)/r! |
Ω |
0.67401819842229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2496i4 624f4 7488bu4 62400hl3 |
Quadratic twists by: -4 8 -3 5 |