Atkin-Lehner |
23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
31211b |
Isogeny class |
Conductor |
31211 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
87216 |
Modular degree for the optimal curve |
Δ |
-4620348131579 = -1 · 238 · 59 |
Discriminant |
Eigenvalues |
-2 1 3 1 0 4 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4056,29854] |
[a1,a2,a3,a4,a6] |
Generators |
[4631:278593:1331] |
Generators of the group modulo torsion |
j |
94208/59 |
j-invariant |
L |
4.328146335361 |
L(r)(E,1)/r! |
Ω |
0.47920273857952 |
Real period |
R |
9.031973290033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31211c1 |
Quadratic twists by: -23 |