Atkin-Lehner |
5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119935a |
Isogeny class |
Conductor |
119935 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
14222836967667695 = 5 · 1711 · 83 |
Discriminant |
Eigenvalues |
1 2 5+ 4 -3 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1756403,895201418] |
[a1,a2,a3,a4,a6] |
Generators |
[-26327794:11466374456:357911] |
Generators of the group modulo torsion |
j |
24825790198998361/589240655 |
j-invariant |
L |
11.379458168294 |
L(r)(E,1)/r! |
Ω |
0.36643515963346 |
Real period |
R |
15.527246492068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7055a1 |
Quadratic twists by: 17 |