Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840a |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-585923544000 = -1 · 26 · 39 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27,-36828] |
[a1,a2,a3,a4,a6] |
Generators |
[406479:448956:12167] |
Generators of the group modulo torsion |
j |
1728/465125 |
j-invariant |
L |
7.0348135677342 |
L(r)(E,1)/r! |
Ω |
0.42210430188848 |
Real period |
R |
8.3330275585877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840x1 87840bc1 |
Quadratic twists by: -4 -3 |