Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2496f |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
59041861632 = 212 · 38 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11609,-477447] |
[a1,a2,a3,a4,a6] |
j |
42246001231552/14414517 |
j-invariant |
L |
1.3798373042819 |
L(r)(E,1)/r! |
Ω |
0.45994576809397 |
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 |
2496o2 1248c1 7488z2 62400ck2 |
Quadratic twists by: -4 8 -3 5 |