Atkin-Lehner |
3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5043a |
Isogeny class |
Conductor |
5043 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
5043 = 3 · 412 |
Discriminant |
Eigenvalues |
1 3+ 2 2 3 -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-1:1] |
Generators of the group modulo torsion |
j |
201433/3 |
j-invariant |
L |
4.623205383376 |
L(r)(E,1)/r! |
Ω |
2.4478988330572 |
Real period |
R |
1.8886423413185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688z1 15129d1 126075u1 5043d1 |
Quadratic twists by: -4 -3 5 41 |