Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21280w |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
-340480 = -1 · 29 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -5 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,-28] |
[a1,a2,a3,a4,a6] |
j |
-8/665 |
j-invariant |
L |
2.775885860146 |
L(r)(E,1)/r! |
Ω |
1.387942930073 |
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 |
21280l1 42560c1 106400s1 |
Quadratic twists by: -4 8 5 |