Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094r |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
52932106177434 = 2 · 310 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 11- -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31059,2085331] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1643:1] |
Generators of the group modulo torsion |
j |
2565726409/40986 |
j-invariant |
L |
5.4973151853604 |
L(r)(E,1)/r! |
Ω |
0.63207291242581 |
Real period |
R |
1.0871600169226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698be1 4554y1 |
Quadratic twists by: -3 -11 |