Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21440c |
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 |
[-1:5:1] |
Generators of the group modulo torsion |
j |
-884736/1675 |
j-invariant |
L |
4.1258886339565 |
L(r)(E,1)/r! |
Ω |
2.9836190754605 |
Real period |
R |
0.69142349100305 |
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 |
21440u1 335a1 107200l1 |
Quadratic twists by: -4 8 5 |