Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160o |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
382462888196505600 = 216 · 32 · 52 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2342721,1380618945] |
[a1,a2,a3,a4,a6] |
j |
12247559771044/3294225 |
j-invariant |
L |
1.1753072667319 |
L(r)(E,1)/r! |
Ω |
0.29382682151635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160hr4 14520u4 10560f3 |
Quadratic twists by: -4 8 -11 |