Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600cq |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
15488000 = 210 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80,-200] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:8:1] |
Generators of the group modulo torsion |
j |
442368/121 |
j-invariant |
L |
4.6953222056482 |
L(r)(E,1)/r! |
Ω |
1.6291545264871 |
Real period |
R |
1.4410303409869 |
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 |
17600bd1 4400ba1 17600cr1 |
Quadratic twists by: -4 8 5 |