Atkin-Lehner |
2- 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40788a |
Isogeny class |
Conductor |
40788 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-44918845488 = -1 · 24 · 37 · 112 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,780,-5803] |
[a1,a2,a3,a4,a6] |
Generators |
[19:126:1] |
Generators of the group modulo torsion |
j |
4499456000/3851067 |
j-invariant |
L |
5.7624474184742 |
L(r)(E,1)/r! |
Ω |
0.62719143272756 |
Real period |
R |
2.2969252758344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13596a1 |
Quadratic twists by: -3 |