Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768dw |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-33574201024 = -1 · 26 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 2 -1 7- -6 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,229,-8791] |
[a1,a2,a3,a4,a6] |
j |
512/13 |
j-invariant |
L |
1.127818555657 |
L(r)(E,1)/r! |
Ω |
0.56390927779125 |
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 |
40768ea1 20384k1 40768cy1 |
Quadratic twists by: -4 8 -7 |