Atkin-Lehner |
2+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
4544g |
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 |
[-5:4:1] [-3:8:1] |
Generators of the group modulo torsion |
j |
125000/71 |
j-invariant |
L |
3.7516182264034 |
L(r)(E,1)/r! |
Ω |
2.1459072893058 |
Real period |
R |
0.43706667164736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4544a1 2272c1 40896k1 113600w1 |
Quadratic twists by: -4 8 -3 5 |