Atkin-Lehner |
2+ 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984d |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
117760 |
Modular degree for the optimal curve |
Δ |
-964957833216 = -1 · 211 · 33 · 135 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 0 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4059,110186] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-156:1] |
Generators of the group modulo torsion |
j |
-133747954758/17450771 |
j-invariant |
L |
3.8344146466095 |
L(r)(E,1)/r! |
Ω |
0.85379932853689 |
Real period |
R |
0.11227505445905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43992h1 87984c1 |
Quadratic twists by: -4 -3 |