Atkin-Lehner |
3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
18585k |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-770316042195 = -1 · 37 · 5 · 73 · 593 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -3 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1212,38979] |
[a1,a2,a3,a4,a6] |
j |
270087225344/1056674955 |
j-invariant |
L |
1.2789354693097 |
L(r)(E,1)/r! |
Ω |
0.63946773465483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6195i2 92925j2 |
Quadratic twists by: -3 5 |