Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fl |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-1250076777840000000 = -1 · 210 · 317 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1091801,442746801] |
[a1,a2,a3,a4,a6] |
Generators |
[215580317680:1828886533439:423564751] |
Generators of the group modulo torsion |
j |
-1161633816071508736/10089075234375 |
j-invariant |
L |
5.3149896780602 |
L(r)(E,1)/r! |
Ω |
0.27394844587543 |
Real period |
R |
19.401422997949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160dh1 29040dk1 116160fn1 |
Quadratic twists by: -4 8 -11 |