Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cr |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14745600 |
Modular degree for the optimal curve |
Δ |
1.8651734665137E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33148716,32833621170] |
[a1,a2,a3,a4,a6] |
Generators |
[5109852262712990949:913101692980792740216:155278442348749] |
Generators of the group modulo torsion |
j |
35529391776305786176/16450653076171875 |
j-invariant |
L |
8.6600301690702 |
L(r)(E,1)/r! |
Ω |
0.074593288875867 |
Real period |
R |
29.024159758343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160l1 58080bn3 10560o1 |
Quadratic twists by: -4 8 -11 |