Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
440b |
Isogeny class |
Conductor |
440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
154880 = 28 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
5256144/605 |
j-invariant |
L |
1.7346746205778 |
L(r)(E,1)/r! |
Ω |
2.1964080282505 |
Real period |
R |
0.39488897287439 |
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 |
880a2 3520i2 3960i2 2200a2 |
Quadratic twists by: -4 8 -3 5 |