Atkin-Lehner |
2+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73346d |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-12076307513903906 = -1 · 2 · 79 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-570210,-165861330] |
[a1,a2,a3,a4,a6] |
Generators |
[1416171732:60200808719:658503] |
Generators of the group modulo torsion |
j |
-4247828669470177/2501923634 |
j-invariant |
L |
2.4713138306105 |
L(r)(E,1)/r! |
Ω |
0.086865155400525 |
Real period |
R |
14.225000918547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
434b3 |
Quadratic twists by: 13 |