Atkin-Lehner |
2- 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8034g |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
281125728 = 25 · 38 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 3 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-248,1248] |
[a1,a2,a3,a4,a6] |
Generators |
[4:16:1] |
Generators of the group modulo torsion |
j |
1687284042625/281125728 |
j-invariant |
L |
7.3354473200478 |
L(r)(E,1)/r! |
Ω |
1.6575530155415 |
Real period |
R |
0.11063669233004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64272m1 24102f1 104442j1 |
Quadratic twists by: -4 -3 13 |