Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550di |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
5.576942018025E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2081480,212795147] |
[a1,a2,a3,a4,a6] |
Generators |
[-1355:24001:1] |
Generators of the group modulo torsion |
j |
87557366190249649/48960807840000 |
j-invariant |
L |
9.1106226251139 |
L(r)(E,1)/r! |
Ω |
0.141778343547 |
Real period |
R |
2.0081131568558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17850r2 10710n2 |
Quadratic twists by: -3 5 |