Atkin-Lehner |
2+ 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
126582g |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-14873891328 = -1 · 29 · 34 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -1 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14260,649552] |
[a1,a2,a3,a4,a6] |
Generators |
[-706:9227:8] [69:-26:1] |
Generators of the group modulo torsion |
j |
-65280445609625/3027456 |
j-invariant |
L |
7.4343830346348 |
L(r)(E,1)/r! |
Ω |
1.1741529118892 |
Real period |
R |
1.582924796078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126582m1 |
Quadratic twists by: 17 |