Atkin-Lehner |
5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
2225a |
Isogeny class |
Conductor |
2225 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
280 |
Modular degree for the optimal curve |
Δ |
-1390625 = -1 · 56 · 89 |
Discriminant |
Eigenvalues |
1 1 5+ 4 -2 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,73] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
-117649/89 |
j-invariant |
L |
4.4155125912353 |
L(r)(E,1)/r! |
Ω |
2.483210090413 |
Real period |
R |
1.7781470074894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35600t1 20025n1 89a1 109025k1 |
Quadratic twists by: -4 -3 5 -7 |