Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488cq |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
181112832 = 212 · 32 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-249,-1287] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:12:1] [-7:8:1] |
Generators of the group modulo torsion |
j |
85184/9 |
j-invariant |
L |
7.0248211720754 |
L(r)(E,1)/r! |
Ω |
1.2096583680034 |
Real period |
R |
1.451819240433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488dv1 27744k1 55488dr1 |
Quadratic twists by: -4 8 17 |