Atkin-Lehner |
2- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79768p |
Isogeny class |
Conductor |
79768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67968 |
Modular degree for the optimal curve |
Δ |
-15662606336 = -1 · 211 · 133 · 592 |
Discriminant |
Eigenvalues |
2- -3 1 3 0 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,533,3718] |
[a1,a2,a3,a4,a6] |
Generators |
[14:118:1] |
Generators of the group modulo torsion |
j |
3721734/3481 |
j-invariant |
L |
4.9002349394074 |
L(r)(E,1)/r! |
Ω |
0.81312159738102 |
Real period |
R |
1.5066119730626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79768h1 |
Quadratic twists by: 13 |