Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cd |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1100124074712960000 = -1 · 210 · 36 · 54 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,105835,48657237] |
[a1,a2,a3,a4,a6] |
Generators |
[4129:266200:1] |
Generators of the group modulo torsion |
j |
72268906496/606436875 |
j-invariant |
L |
6.078987623226 |
L(r)(E,1)/r! |
Ω |
0.20144098369425 |
Real period |
R |
1.8860944841723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999531411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160jd1 7260n1 10560i1 |
Quadratic twists by: -4 8 -11 |