Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440p |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-21627000000 = -1 · 26 · 35 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-231,-7281] |
[a1,a2,a3,a4,a6] |
Generators |
[30:117:1] [54:375:1] |
Generators of the group modulo torsion |
j |
-21392344576/337921875 |
j-invariant |
L |
11.437700107278 |
L(r)(E,1)/r! |
Ω |
0.51858871201104 |
Real period |
R |
2.2055435921619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85440b1 42720g1 |
Quadratic twists by: -4 8 |