Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080q |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4700160 = 211 · 33 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97920,-11826540] |
[a1,a2,a3,a4,a6] |
j |
50700519510140162/2295 |
j-invariant |
L |
3.23863928739 |
L(r)(E,1)/r! |
Ω |
0.2698866072825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2040l4 16320bw3 12240m4 20400c3 |
Quadratic twists by: -4 8 -3 5 |