Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ew |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5334663647036731392 = 212 · 322 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-512715,87285562] |
[a1,a2,a3,a4,a6] |
j |
14553591673375/5208653241 |
j-invariant |
L |
1.7711306578103 |
L(r)(E,1)/r! |
Ω |
0.22139133295916 |
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 |
4851q2 25872cv2 77616fa2 |
Quadratic twists by: -4 -3 -7 |