Atkin-Lehner |
2+ 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440b |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
2 |
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 |
[-182:125:8] |
Generators of the group modulo torsion |
j |
-21392344576/337921875 |
j-invariant |
L |
5.289178708351 |
L(r)(E,1)/r! |
Ω |
1.021180067719 |
Real period |
R |
2.5897385145617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85440p1 42720c1 |
Quadratic twists by: -4 8 |