Atkin-Lehner |
2+ 3- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
123624d |
Isogeny class |
Conductor |
123624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.535180503502E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2300979,-6110761570] |
[a1,a2,a3,a4,a6] |
Generators |
[1721255287810271762125571776830:153219093477099649762089520351286:207622974842923723625575125] |
Generators of the group modulo torsion |
j |
-1804821236174994628/20565153778480249 |
j-invariant |
L |
10.006945585385 |
L(r)(E,1)/r! |
Ω |
0.052940246664617 |
Real period |
R |
47.255850646116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13736h2 |
Quadratic twists by: -3 |