Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dx |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
-2.69558041536E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-758241,830047905] |
[a1,a2,a3,a4,a6] |
Generators |
[-2733:812584:27] |
Generators of the group modulo torsion |
j |
-1471282747172521928/8226258591796875 |
j-invariant |
L |
4.7933304143704 |
L(r)(E,1)/r! |
Ω |
0.15063250930354 |
Real period |
R |
7.9553386853606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997918545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680fd1 63840ba1 |
Quadratic twists by: -4 8 |