Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fm |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1901486555136 = 214 · 38 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3324,32240] |
[a1,a2,a3,a4,a6] |
Generators |
[2:160:1] |
Generators of the group modulo torsion |
j |
340062928/159201 |
j-invariant |
L |
8.0298795630836 |
L(r)(E,1)/r! |
Ω |
0.74373589571133 |
Real period |
R |
2.6991703665532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002615 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608bc2 19152v2 25536co2 |
Quadratic twists by: -4 8 -3 |