Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096z |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
195236172398592 = 218 · 34 · 13 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5751064,5310400240] |
[a1,a2,a3,a4,a6] |
j |
5135804003824189180057/47665081152 |
j-invariant |
L |
0.78831289921039 |
L(r)(E,1)/r! |
Ω |
0.3941564496052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2262h3 72384cv4 54288bs4 |
Quadratic twists by: -4 8 -3 |