Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2496u |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
190120238883274752 = 222 · 320 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149729,7613313] |
[a1,a2,a3,a4,a6] |
j |
1416134368422073/725251155408 |
j-invariant |
L |
0.28130981183044 |
L(r)(E,1)/r! |
Ω |
0.28130981183044 |
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 |
2496j3 624i4 7488bt3 62400hn3 |
Quadratic twists by: -4 8 -3 5 |