Atkin-Lehner |
2+ 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50666g |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
852320069637344 = 25 · 77 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52733,4457445] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:3016:1] |
Generators of the group modulo torsion |
j |
137843896890393/7244601056 |
j-invariant |
L |
3.3885079654392 |
L(r)(E,1)/r! |
Ω |
0.49365572997953 |
Real period |
R |
0.85801393553242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7238b2 |
Quadratic twists by: -7 |