Atkin-Lehner |
2+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28480p |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
9113600 = 212 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105,-425] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [-6:5:1] |
Generators of the group modulo torsion |
j |
31554496/2225 |
j-invariant |
L |
6.2738083680354 |
L(r)(E,1)/r! |
Ω |
1.4968679685916 |
Real period |
R |
2.095645207085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28480l1 14240c1 |
Quadratic twists by: -4 8 |