Atkin-Lehner |
2+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21440h |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2810183680 = -1 · 223 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5- -5 3 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812,9264] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:128:1] [5:73:1] |
Generators of the group modulo torsion |
j |
-225866529/10720 |
j-invariant |
L |
6.9884190645629 |
L(r)(E,1)/r! |
Ω |
1.4180440372067 |
Real period |
R |
1.2320525458311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21440bb1 670c1 107200p1 |
Quadratic twists by: -4 8 5 |