Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
3560a |
Isogeny class |
Conductor |
3560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
569600 = 28 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] |
Generators of the group modulo torsion |
j |
5256144/2225 |
j-invariant |
L |
3.5548226814511 |
L(r)(E,1)/r! |
Ω |
2.2642909519571 |
Real period |
R |
1.5699496031544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7120a1 28480j1 32040m1 17800g1 |
Quadratic twists by: -4 8 -3 5 |