Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720cy |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-17994538580705280 = -1 · 236 · 32 · 5 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,65440,392820] |
[a1,a2,a3,a4,a6] |
Generators |
[110216:2534343:512] |
Generators of the group modulo torsion |
j |
7566359979929759/4393197895680 |
j-invariant |
L |
8.9657159908349 |
L(r)(E,1)/r! |
Ω |
0.23355015078421 |
Real period |
R |
9.5972063824851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590t1 |
Quadratic twists by: -4 |