Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fu |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3328227060564639744 = 214 · 314 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1337916,589147760] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:28224:1] |
Generators of the group modulo torsion |
j |
22174957026242512/278654127129 |
j-invariant |
L |
6.0446849074913 |
L(r)(E,1)/r! |
Ω |
0.25209376618753 |
Real period |
R |
1.9981602478465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993071 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608bk2 19152u2 25536cm2 |
Quadratic twists by: -4 8 -3 |