Atkin-Lehner |
2- 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50286q |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-174454546998528 = -1 · 28 · 314 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -2 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12047,381545] |
[a1,a2,a3,a4,a6] |
Generators |
[398:-8461:1] |
Generators of the group modulo torsion |
j |
39356042953375/35508761856 |
j-invariant |
L |
12.628711608167 |
L(r)(E,1)/r! |
Ω |
0.37274045907567 |
Real period |
R |
0.15125317214585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50286p1 |
Quadratic twists by: 17 |