Atkin-Lehner |
2+ 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50666g |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-33571249445888 = -1 · 210 · 78 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2147,275589] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:517:1] |
Generators of the group modulo torsion |
j |
9300746727/285350912 |
j-invariant |
L |
3.3885079654392 |
L(r)(E,1)/r! |
Ω |
0.49365572997953 |
Real period |
R |
1.7160278710648 |
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 |
7238b1 |
Quadratic twists by: -7 |