Atkin-Lehner |
2+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21440l |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-27443200000 = -1 · 217 · 55 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -1 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5825,169375] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:240:1] [10:335:1] |
Generators of the group modulo torsion |
j |
-166792350818/209375 |
j-invariant |
L |
5.5032395383542 |
L(r)(E,1)/r! |
Ω |
1.1818066520086 |
Real period |
R |
0.23283163658802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21440be1 2680e1 107200s1 |
Quadratic twists by: -4 8 5 |