Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118r |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-10676111688 = -1 · 23 · 38 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,130,-4971] |
[a1,a2,a3,a4,a6] |
Generators |
[23:87:1] |
Generators of the group modulo torsion |
j |
335702375/14644872 |
j-invariant |
L |
5.9019126838031 |
L(r)(E,1)/r! |
Ω |
0.61496585831918 |
Real period |
R |
0.79976156453278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64944bf2 2706a2 89298p2 |
Quadratic twists by: -4 -3 -11 |