Atkin-Lehner |
2+ 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450bk |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4688640 |
Modular degree for the optimal curve |
Δ |
-4.1631150292992E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 3 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8938951,10744204298] |
[a1,a2,a3,a4,a6] |
Generators |
[4327:228236:1] |
Generators of the group modulo torsion |
j |
-202219614216002563465/10657574475005952 |
j-invariant |
L |
5.183109429495 |
L(r)(E,1)/r! |
Ω |
0.13699724205724 |
Real period |
R |
0.78820160776308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60450ca1 |
Quadratic twists by: 5 |