Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
21440u |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-107200 = -1 · 26 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -2 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[11:35:1] |
Generators of the group modulo torsion |
j |
-884736/1675 |
j-invariant |
L |
4.6873861430728 |
L(r)(E,1)/r! |
Ω |
1.3364055492569 |
Real period |
R |
1.7537289281982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21440c1 5360n1 107200br1 |
Quadratic twists by: -4 8 5 |