Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760z |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
4.3255423122272E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3490036,2488340864] |
[a1,a2,a3,a4,a6] |
Generators |
[-706:67830:1] |
Generators of the group modulo torsion |
j |
18364266710519736080464/168966496571376825 |
j-invariant |
L |
7.3562403991811 |
L(r)(E,1)/r! |
Ω |
0.20385047440533 |
Real period |
R |
0.7518010873576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77520h1 116280x1 |
Quadratic twists by: -4 -3 |