Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ga |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-637761960000 = -1 · 26 · 32 · 54 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,38106] |
[a1,a2,a3,a4,a6] |
Generators |
[71:650:1] |
Generators of the group modulo torsion |
j |
85184/5625 |
j-invariant |
L |
4.1304765200674 |
L(r)(E,1)/r! |
Ω |
0.69525973929476 |
Real period |
R |
2.9704557154186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999697134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ib1 58080bd2 960j1 |
Quadratic twists by: -4 8 -11 |