Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160et |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
4.6696108759066E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14401407,20777112344] |
[a1,a2,a3,a4,a6] |
j |
7079962908642659949376/100085966990454375 |
j-invariant |
L |
2.2035552923352 |
L(r)(E,1)/r! |
Ω |
0.13772220577095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160fi1 10080n2 6720bi1 100800nv1 |
Quadratic twists by: -4 8 -3 5 |