Atkin-Lehner |
3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469x |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5.7613706910716E+20 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109121815,438740762051] |
[a1,a2,a3,a4,a6] |
j |
-418952058903342799229525311/1679699909933400963 |
j-invariant |
L |
1.7248818646608 |
L(r)(E,1)/r! |
Ω |
0.14374015591156 |
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 |
77469d2 |
Quadratic twists by: -7 |