Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550em |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
416656618720776000 = 26 · 312 · 53 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200345,-15011143] |
[a1,a2,a3,a4,a6] |
Generators |
[915:-24272:1] |
Generators of the group modulo torsion |
j |
9759322356711101/4572363442752 |
j-invariant |
L |
10.188604552725 |
L(r)(E,1)/r! |
Ω |
0.23615089062495 |
Real period |
R |
0.4494215420628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850z2 53550cg2 |
Quadratic twists by: -3 5 |