Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600cv |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
15488000 = 210 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-813,9197] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:132:1] |
Generators of the group modulo torsion |
j |
464857088/121 |
j-invariant |
L |
7.6598134998006 |
L(r)(E,1)/r! |
Ω |
2.1572203967095 |
Real period |
R |
1.7753896429601 |
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 |
17600bi1 4400k1 17600cw1 |
Quadratic twists by: -4 8 5 |