Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270ca |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
-1529833237159752000 = -1 · 26 · 38 · 53 · 72 · 296 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,287968,-1944061] |
[a1,a2,a3,a4,a6] |
j |
3622682624532261191/2098536676488000 |
j-invariant |
L |
3.825569531036 |
L(r)(E,1)/r! |
Ω |
0.15939873045983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6090i4 91350bi4 127890fb4 |
Quadratic twists by: -3 5 -7 |