Atkin-Lehner |
3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5499a |
Isogeny class |
Conductor |
5499 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
345359630421 = 39 · 132 · 473 |
Discriminant |
Eigenvalues |
0 3+ 3 -1 -3 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15876,-769426] |
[a1,a2,a3,a4,a6] |
j |
22483074023424/17546087 |
j-invariant |
L |
1.701353736612 |
L(r)(E,1)/r! |
Ω |
0.425338434153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984x2 5499c1 71487d2 |
Quadratic twists by: -4 -3 13 |