Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2496c |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5615321088 = -1 · 216 · 3 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,-3615] |
[a1,a2,a3,a4,a6] |
Generators |
[40:245:1] |
Generators of the group modulo torsion |
j |
48668/85683 |
j-invariant |
L |
2.4586088148755 |
L(r)(E,1)/r! |
Ω |
0.62850719139244 |
Real period |
R |
3.9118228853174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2496bb4 312c4 7488n4 62400cq3 |
Quadratic twists by: -4 8 -3 5 |