Atkin-Lehner |
2- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646bj |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
736 |
Product of Tamagawa factors cp |
Δ |
1.9019074236218E+23 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -2 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2191774754,39494069884975] |
[a1,a2,a3,a4,a6] |
Generators |
[725187:-1668751:27] |
Generators of the group modulo torsion |
j |
9897448089772377164326261393/1616594636267061248 |
j-invariant |
L |
11.270018638676 |
L(r)(E,1)/r! |
Ω |
0.079137536778977 |
Real period |
R |
0.7739702774459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378r2 |
Quadratic twists by: -7 |