Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fm |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6538444996608 = 216 · 37 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44364,3594512] |
[a1,a2,a3,a4,a6] |
Generators |
[26:1568:1] |
Generators of the group modulo torsion |
j |
202119559492/136857 |
j-invariant |
L |
8.0298795630836 |
L(r)(E,1)/r! |
Ω |
0.74373589571133 |
Real period |
R |
1.3495851832766 |
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 |
76608bc4 19152v3 25536co4 |
Quadratic twists by: -4 8 -3 |