Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dv |
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 |
[-6:51:1] |
Generators of the group modulo torsion |
j |
85184/9 |
j-invariant |
L |
7.0691484476501 |
L(r)(E,1)/r! |
Ω |
1.7463472194589 |
Real period |
R |
1.0119906810098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488cq1 27744d1 55488cm1 |
Quadratic twists by: -4 8 17 |