Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768dy |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-685187776 = -1 · 26 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 0 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1437,21491] |
[a1,a2,a3,a4,a6] |
j |
-43614208/91 |
j-invariant |
L |
3.2282440171341 |
L(r)(E,1)/r! |
Ω |
1.6141220085604 |
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 |
40768bw1 10192bb1 5824s1 |
Quadratic twists by: -4 8 -7 |