Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cd |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
164627620608000000 = 214 · 3 · 56 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120998225,512331200625] |
[a1,a2,a3,a4,a6] |
Generators |
[6175:24200:1] |
Generators of the group modulo torsion |
j |
6749703004355978704/5671875 |
j-invariant |
L |
6.078987623226 |
L(r)(E,1)/r! |
Ω |
0.20144098369425 |
Real period |
R |
1.2573963227815 |
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 |
116160jd4 7260n4 10560i4 |
Quadratic twists by: -4 8 -11 |