Atkin-Lehner |
3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5499d |
Isogeny class |
Conductor |
5499 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
16497 = 33 · 13 · 47 |
Discriminant |
Eigenvalues |
1 3+ -4 2 0 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39,104] |
[a1,a2,a3,a4,a6] |
Generators |
[8:12:1] |
Generators of the group modulo torsion |
j |
246491883/611 |
j-invariant |
L |
3.7454933883312 |
L(r)(E,1)/r! |
Ω |
3.9199961003894 |
Real period |
R |
1.9109679154829 |
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 |
87984t1 5499b1 71487b1 |
Quadratic twists by: -4 -3 13 |