Atkin-Lehner |
2+ 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52632d |
Isogeny class |
Conductor |
52632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-121728933402624 = -1 · 211 · 314 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12381,-24770] |
[a1,a2,a3,a4,a6] |
Generators |
[245658:5257720:9261] |
Generators of the group modulo torsion |
j |
140583192766/81533547 |
j-invariant |
L |
7.6236727304792 |
L(r)(E,1)/r! |
Ω |
0.34931709637335 |
Real period |
R |
10.912252520185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105264f2 17544h2 |
Quadratic twists by: -4 -3 |