Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048bb |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-195371581257547776 = -1 · 220 · 38 · 734 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46644,20909680] |
[a1,a2,a3,a4,a6] |
Generators |
[72:4964:1] |
Generators of the group modulo torsion |
j |
58727785103/1022336676 |
j-invariant |
L |
4.1856238273952 |
L(r)(E,1)/r! |
Ω |
0.23700038327365 |
Real period |
R |
2.2076039337854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048ck3 1314c4 14016bc4 |
Quadratic twists by: -4 8 -3 |