Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440bj |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-23357160000 = -1 · 26 · 38 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-556,-9106] |
[a1,a2,a3,a4,a6] |
j |
-297542483776/364955625 |
j-invariant |
L |
1.8785203270252 |
L(r)(E,1)/r! |
Ω |
0.46963006753329 |
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 |
85440ba1 42720i2 |
Quadratic twists by: -4 8 |