Atkin-Lehner |
2+ 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
87840h |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-21081600000 = -1 · 212 · 33 · 55 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 4 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,408,6224] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-100:1] |
Generators of the group modulo torsion |
j |
67917312/190625 |
j-invariant |
L |
8.8045845327625 |
L(r)(E,1)/r! |
Ω |
0.85098220177127 |
Real period |
R |
0.51731895845904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840be1 87840bb1 |
Quadratic twists by: -4 -3 |