Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60016g |
Isogeny class |
Conductor |
60016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1237201512448 = -1 · 211 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ -2 0 -3 11- 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,54580] |
[a1,a2,a3,a4,a6] |
Generators |
[62:484:1] |
Generators of the group modulo torsion |
j |
-31250/341 |
j-invariant |
L |
2.9898004940262 |
L(r)(E,1)/r! |
Ω |
0.73441007097311 |
Real period |
R |
0.2544389548229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30008e1 5456d1 |
Quadratic twists by: -4 -11 |