Atkin-Lehner |
2+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4544a |
Isogeny class |
Conductor |
4544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
2326528 = 215 · 71 |
Discriminant |
Eigenvalues |
2+ 1 0 3 4 -5 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:8:1] |
Generators of the group modulo torsion |
j |
125000/71 |
j-invariant |
L |
4.5829029076213 |
L(r)(E,1)/r! |
Ω |
2.2247356909421 |
Real period |
R |
0.51499408741906 |
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 |
4544g1 2272a1 40896v1 113600g1 |
Quadratic twists by: -4 8 -3 5 |