Atkin-Lehner |
3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5499d |
Isogeny class |
Conductor |
5499 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10079667 = 33 · 132 · 472 |
Discriminant |
Eigenvalues |
1 3+ -4 2 0 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,29] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:15:1] |
Generators of the group modulo torsion |
j |
651714363/373321 |
j-invariant |
L |
3.7454933883312 |
L(r)(E,1)/r! |
Ω |
1.9599980501947 |
Real period |
R |
0.95548395774147 |
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 |
87984t2 5499b2 71487b2 |
Quadratic twists by: -4 -3 13 |