Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768dj |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
8479744 = 210 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 1 1 7- 5 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-169] |
[a1,a2,a3,a4,a6] |
j |
614656/169 |
j-invariant |
L |
3.4279911882632 |
L(r)(E,1)/r! |
Ω |
1.7139955941634 |
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 |
40768bo1 10192e1 40768bz1 |
Quadratic twists by: -4 8 -7 |