Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2496d |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1916928 = 214 · 32 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273,-1647] |
[a1,a2,a3,a4,a6] |
j |
137842000/117 |
j-invariant |
L |
1.1742174627804 |
L(r)(E,1)/r! |
Ω |
1.1742174627804 |
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 |
2496bc2 312a2 7488v2 62400cb2 |
Quadratic twists by: -4 8 -3 5 |