Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608cn |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7605946220544 = 216 · 38 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38316,2883760] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:2016:1] [62:864:1] |
Generators of the group modulo torsion |
j |
130213720228/159201 |
j-invariant |
L |
10.209812090744 |
L(r)(E,1)/r! |
Ω |
0.73940064640917 |
Real period |
R |
3.4520567909687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608dx2 9576l2 25536bp2 |
Quadratic twists by: -4 8 -3 |