Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2496i |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
16 |
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 |
3.2385496750043 |
L(r)(E,1)/r! |
Ω |
0.80963741875107 |
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 |
2496s4 312d4 7488s4 62400bg3 |
Quadratic twists by: -4 8 -3 5 |