Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ea |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1293075129139200 = 215 · 34 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1421185,651638975] |
[a1,a2,a3,a4,a6] |
j |
5468520153032/22275 |
j-invariant |
L |
3.4011616152159 |
L(r)(E,1)/r! |
Ω |
0.4251453092224 |
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 |
116160bn4 58080b4 10560y3 |
Quadratic twists by: -4 8 -11 |