Atkin-Lehner |
2- 3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
60390bk |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-96974010777600 = -1 · 216 · 36 · 52 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11383,-79991] |
[a1,a2,a3,a4,a6] |
Generators |
[199:-3268:1] |
Generators of the group modulo torsion |
j |
223770153205431/133023334400 |
j-invariant |
L |
9.061736505425 |
L(r)(E,1)/r! |
Ω |
0.35058648678332 |
Real period |
R |
0.26924337404914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6710a1 |
Quadratic twists by: -3 |