Atkin-Lehner |
2- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21440r |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-10977280 = -1 · 215 · 5 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 -5 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,159] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:8:1] [-3:12:1] |
Generators of the group modulo torsion |
j |
-8/335 |
j-invariant |
L |
5.4515584468001 |
L(r)(E,1)/r! |
Ω |
1.8149122156507 |
Real period |
R |
0.7509396873013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21440v1 10720b1 107200ct1 |
Quadratic twists by: -4 8 5 |