Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bh |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3061382187500 = -1 · 22 · 57 · 73 · 134 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88,-84219] |
[a1,a2,a3,a4,a6] |
j |
-169/6860 |
j-invariant |
L |
2.9210613987428 |
L(r)(E,1)/r! |
Ω |
0.36513267490462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830c1 59150j1 |
Quadratic twists by: 5 13 |