Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
42720l |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
1281600 = 26 · 32 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-270,-1800] |
[a1,a2,a3,a4,a6] |
j |
34138350784/20025 |
j-invariant |
L |
2.354886289319 |
L(r)(E,1)/r! |
Ω |
1.1774431446893 |
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 |
42720h1 85440y1 128160k1 |
Quadratic twists by: -4 8 -3 |