Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496n |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
36617308416 = 28 · 39 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3639,83990] |
[a1,a2,a3,a4,a6] |
Generators |
[53:200:1] |
Generators of the group modulo torsion |
j |
28556329552/196209 |
j-invariant |
L |
7.1563022335791 |
L(r)(E,1)/r! |
Ω |
1.1630082841272 |
Real period |
R |
3.0766342466984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40248f1 26832c1 |
Quadratic twists by: -4 -3 |