Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768dv |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
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] |
j |
-65536/91 |
j-invariant |
L |
3.6583300925664 |
L(r)(E,1)/r! |
Ω |
0.91458252311479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768bu1 10192ba1 5824bc1 |
Quadratic twists by: -4 8 -7 |