Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
107484f |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
1671591168 = 28 · 36 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 1 4 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1005437,387708543] |
[a1,a2,a3,a4,a6] |
Generators |
[577:66:1] |
Generators of the group modulo torsion |
j |
2598137095613243392/38637 |
j-invariant |
L |
11.399618829591 |
L(r)(E,1)/r! |
Ω |
0.76400336908019 |
Real period |
R |
0.82893895998607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107484g1 |
Quadratic twists by: 13 |