Atkin-Lehner |
2+ 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
64872b |
Isogeny class |
Conductor |
64872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
473392044685458432 = 210 · 37 · 175 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 2 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2683011,-1691214194] |
[a1,a2,a3,a4,a6] |
j |
2861301264905323012/634152151767 |
j-invariant |
L |
0.94371249057734 |
L(r)(E,1)/r! |
Ω |
0.11796406162882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129744c1 21624i1 |
Quadratic twists by: -4 -3 |