Atkin-Lehner |
2- 3- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
112140g |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
534768017490000 = 24 · 39 · 54 · 73 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21108,394193] |
[a1,a2,a3,a4,a6] |
j |
89169731239936/45847738125 |
j-invariant |
L |
2.751795356244 |
L(r)(E,1)/r! |
Ω |
0.45863269216742 |
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 |
37380e1 |
Quadratic twists by: -3 |