Atkin-Lehner |
3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5499b |
Isogeny class |
Conductor |
5499 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7348077243 = 39 · 132 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 4 2 0 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-488,-296] |
[a1,a2,a3,a4,a6] |
j |
651714363/373321 |
j-invariant |
L |
2.2036708472656 |
L(r)(E,1)/r! |
Ω |
1.1018354236328 |
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 |
87984z2 5499d2 71487e2 |
Quadratic twists by: -4 -3 13 |