Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160en |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7865798492160000 = 224 · 37 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202309932,-1107576977456] |
[a1,a2,a3,a4,a6] |
j |
4791901410190533590281/41160000 |
j-invariant |
L |
2.8822241320493 |
L(r)(E,1)/r! |
Ω |
0.040030890722906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160cg7 5040bc7 6720bw7 100800mw8 |
Quadratic twists by: -4 8 -3 5 |