Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fm |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
8042001408 = 210 · 310 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1704,-26728] |
[a1,a2,a3,a4,a6] |
Generators |
[6436:57915:64] |
Generators of the group modulo torsion |
j |
733001728/10773 |
j-invariant |
L |
8.0298795630836 |
L(r)(E,1)/r! |
Ω |
0.74373589571133 |
Real period |
R |
5.3983407331064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bc1 19152v1 25536co1 |
Quadratic twists by: -4 8 -3 |