Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384u |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2086892273664 = 216 · 36 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3276,19440] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:280:1] [-42:288:1] |
Generators of the group modulo torsion |
j |
81385668/43681 |
j-invariant |
L |
8.7917621709866 |
L(r)(E,1)/r! |
Ω |
0.72208863001126 |
Real period |
R |
3.0438653249909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001298 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120384dw2 15048j2 13376f2 |
Quadratic twists by: -4 8 -3 |