Atkin-Lehner |
2- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
40936m |
Isogeny class |
Conductor |
40936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-36678656 = -1 · 210 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-392,-3136] |
[a1,a2,a3,a4,a6] |
Generators |
[56:392:1] |
Generators of the group modulo torsion |
j |
-6522128932/35819 |
j-invariant |
L |
4.7261038795157 |
L(r)(E,1)/r! |
Ω |
0.53618312963397 |
Real period |
R |
2.2035866191567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872d1 |
Quadratic twists by: -4 |