Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73080bp |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
44396100000000 = 28 · 37 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9327,-132046] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:360:1] |
Generators of the group modulo torsion |
j |
480819584464/237890625 |
j-invariant |
L |
6.3258200079582 |
L(r)(E,1)/r! |
Ω |
0.51111217242318 |
Real period |
R |
1.5470723326976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001694 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360b1 |
Quadratic twists by: -3 |