Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480bf |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
36454400 = 214 · 52 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2961,61039] |
[a1,a2,a3,a4,a6] |
Generators |
[29:20:1] |
Generators of the group modulo torsion |
j |
175293437776/2225 |
j-invariant |
L |
2.6822286408667 |
L(r)(E,1)/r! |
Ω |
1.8728144715967 |
Real period |
R |
0.71609566285012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28480h1 7120g1 |
Quadratic twists by: -4 8 |