Atkin-Lehner |
2+ 3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53592g |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1142784 |
Modular degree for the optimal curve |
Δ |
-4.1464600059978E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392436,-294876288] |
[a1,a2,a3,a4,a6] |
j |
26108935261298455088/161971093984288743 |
j-invariant |
L |
1.6282405655958 |
L(r)(E,1)/r! |
Ω |
0.10176503536393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184r1 |
Quadratic twists by: -4 |