Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768dr |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-801865465856 = -1 · 219 · 76 · 13 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 6 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1503,36289] |
[a1,a2,a3,a4,a6] |
j |
12167/26 |
j-invariant |
L |
1.2401429050648 |
L(r)(E,1)/r! |
Ω |
0.62007145254638 |
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 |
40768bl1 10192u1 832g1 |
Quadratic twists by: -4 8 -7 |