Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440bm |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
469248 |
Modular degree for the optimal curve |
Δ |
-1798317265579200 = -1 · 26 · 313 · 52 · 893 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1149,2040615] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1335:1] [6:1431:1] |
Generators of the group modulo torsion |
j |
2618941474304/28098707274675 |
j-invariant |
L |
12.332145513327 |
L(r)(E,1)/r! |
Ω |
0.37078337360685 |
Real period |
R |
0.42640647050358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85440bc1 42720j1 |
Quadratic twists by: -4 8 |