Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560cq |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
185052906455040 = 216 · 32 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36560,-2622060] |
[a1,a2,a3,a4,a6] |
j |
273359449/9360 |
j-invariant |
L |
2.7678925710361 |
L(r)(E,1)/r! |
Ω |
0.34598657137033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5070q1 121680dd1 3120u1 |
Quadratic twists by: -4 -3 13 |