Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550ej |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1075105143000 = 23 · 312 · 53 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13010,572217] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:765:1] |
Generators of the group modulo torsion |
j |
2672309557133/11798136 |
j-invariant |
L |
8.8533009842741 |
L(r)(E,1)/r! |
Ω |
0.87727027981985 |
Real period |
R |
0.84098948636096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850h2 53550ci2 |
Quadratic twists by: -3 5 |