Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760a |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-173563119360 = -1 · 28 · 39 · 5 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2943,64638] |
[a1,a2,a3,a4,a6] |
Generators |
[37:80:1] |
Generators of the group modulo torsion |
j |
-559452528/34445 |
j-invariant |
L |
5.8112191561462 |
L(r)(E,1)/r! |
Ω |
1.0011791123077 |
Real period |
R |
2.9021875730343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29880i1 59760g1 |
Quadratic twists by: -4 -3 |