Atkin-Lehner |
2- 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570z |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-2.2950159725753E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1147971488,14971080405251] |
[a1,a2,a3,a4,a6] |
Generators |
[437523282:170827485305:2744] |
Generators of the group modulo torsion |
j |
-229503592725269524512143023801/31481700584023419840 |
j-invariant |
L |
6.7873801101961 |
L(r)(E,1)/r! |
Ω |
0.093745363969397 |
Real period |
R |
9.050287692631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
14190i3 |
Quadratic twists by: -3 |