Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200bk |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
878227695360000000 = 214 · 33 · 57 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1194008,-499753488] |
[a1,a2,a3,a4,a6] |
j |
2941479403457041/13722307740 |
j-invariant |
L |
1.1557386434164 |
L(r)(E,1)/r! |
Ω |
0.14446732705862 |
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 |
10650j3 17040x3 |
Quadratic twists by: -4 5 |