Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608t |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17889185510719488 = -1 · 220 · 39 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3348,-6434640] |
[a1,a2,a3,a4,a6] |
j |
804357/3467044 |
j-invariant |
L |
1.438744098222 |
L(r)(E,1)/r! |
Ω |
0.17984300878938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608dl2 2394i2 76608s2 |
Quadratic twists by: -4 8 -3 |