Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984cg |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.3737334358699E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129285291,-386593336870] |
[a1,a2,a3,a4,a6] |
Generators |
[-1405831:-93587794:343] |
Generators of the group modulo torsion |
j |
248028267187/76527504 |
j-invariant |
L |
2.2780607488285 |
L(r)(E,1)/r! |
Ω |
0.045851074924178 |
Real period |
R |
12.420977875173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6498u2 17328q2 51984cf2 |
Quadratic twists by: -4 -3 -19 |