Atkin-Lehner |
2- 3- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21318q |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-42406303154688 = -1 · 29 · 38 · 112 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3265,321161] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:401:1] [-70:491:1] |
Generators of the group modulo torsion |
j |
-3849298428393361/42406303154688 |
j-invariant |
L |
9.4603414062078 |
L(r)(E,1)/r! |
Ω |
0.54693239003993 |
Real period |
R |
0.12011871397139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954o2 |
Quadratic twists by: -3 |