Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bu |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-175408070656 = -1 · 214 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 4 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1045,-24333] |
[a1,a2,a3,a4,a6] |
Generators |
[2102:96383:1] |
Generators of the group modulo torsion |
j |
-65536/91 |
j-invariant |
L |
4.5667149631125 |
L(r)(E,1)/r! |
Ω |
0.39954929562977 |
Real period |
R |
5.7148329543566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768dv1 2548h1 5824d1 |
Quadratic twists by: -4 8 -7 |