Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2496c |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24920064 = 214 · 32 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-209,-1071] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:5:1] |
Generators of the group modulo torsion |
j |
61918288/1521 |
j-invariant |
L |
2.4586088148755 |
L(r)(E,1)/r! |
Ω |
1.2570143827849 |
Real period |
R |
1.9559114426587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2496bb2 312c2 7488n2 62400cq2 |
Quadratic twists by: -4 8 -3 5 |