Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768dt |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-350816141312 = -1 · 215 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -1 4 7- 5 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18881,1005313] |
[a1,a2,a3,a4,a6] |
j |
-193100552/91 |
j-invariant |
L |
3.777161093036 |
L(r)(E,1)/r! |
Ω |
0.94429027328133 |
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 |
40768dm1 20384y1 5824q1 |
Quadratic twists by: -4 8 -7 |