Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488di |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
2518055124010795008 = 218 · 34 · 179 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-425793,-75026241] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:3072:1] |
Generators of the group modulo torsion |
j |
274625/81 |
j-invariant |
L |
5.263622671985 |
L(r)(E,1)/r! |
Ω |
0.19113434758292 |
Real period |
R |
3.4423579137393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488c1 13872r1 55488ce1 |
Quadratic twists by: -4 8 17 |