Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608fc |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
475371638784 = 212 · 38 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4836,-125120] |
[a1,a2,a3,a4,a6] |
j |
4188852928/159201 |
j-invariant |
L |
2.2953717870911 |
L(r)(E,1)/r! |
Ω |
0.57384295185494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608el2 38304bq1 25536de2 |
Quadratic twists by: -4 8 -3 |