Atkin-Lehner |
2+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21080b |
Isogeny class |
Conductor |
21080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-42160 = -1 · 24 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 3 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9,-4] |
[a1,a2,a3,a4,a6] |
j |
4499456/2635 |
j-invariant |
L |
4.2567273916997 |
L(r)(E,1)/r! |
Ω |
2.1283636958499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42160c1 105400r1 |
Quadratic twists by: -4 5 |