Atkin-Lehner |
2- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
85054g |
Isogeny class |
Conductor |
85054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-12503656110922 = -1 · 2 · 23 · 437 |
Discriminant |
Eigenvalues |
2- -2 0 2 4 -4 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-963,-170597] |
[a1,a2,a3,a4,a6] |
j |
-15625/1978 |
j-invariant |
L |
1.2630599707941 |
L(r)(E,1)/r! |
Ω |
0.31576497891671 |
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 |
1978c1 |
Quadratic twists by: -43 |