Atkin-Lehner |
2+ 3- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290s |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
11347905600 = 26 · 38 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5139,-140427] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:30:1] |
Generators of the group modulo torsion |
j |
20591101178929/15566400 |
j-invariant |
L |
6.053085399904 |
L(r)(E,1)/r! |
Ω |
0.5638916288255 |
Real period |
R |
2.6836208838377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430ba1 |
Quadratic twists by: -3 |