Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850gk |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
1512 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1.5929727600875E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2290055,2338664447] |
[a1,a2,a3,a4,a6] |
Generators |
[-681:-59510:1] |
Generators of the group modulo torsion |
j |
-4664162897859145/5593978416768 |
j-invariant |
L |
9.7712362410446 |
L(r)(E,1)/r! |
Ω |
0.13597354712384 |
Real period |
R |
0.047527316657757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950bj1 59850bc1 |
Quadratic twists by: -3 5 |