Atkin-Lehner |
2+ 3+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640g |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-64926489600 = -1 · 210 · 36 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,800,-8900] |
[a1,a2,a3,a4,a6] |
j |
55226908796/63404775 |
j-invariant |
L |
2.3752032049986 |
L(r)(E,1)/r! |
Ω |
0.59380080042256 |
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 |
119280s1 |
Quadratic twists by: -4 |