Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488co |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
37030222411923456 = 216 · 34 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83617,-918335] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:2880:1] [439:6840:1] |
Generators of the group modulo torsion |
j |
40873252/23409 |
j-invariant |
L |
8.1590119898144 |
L(r)(E,1)/r! |
Ω |
0.30445981990426 |
Real period |
R |
13.399160507268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55488bk2 13872m2 3264be2 |
Quadratic twists by: -4 8 17 |