Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384bc |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.3628034732414E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1466484,282343664] |
[a1,a2,a3,a4,a6] |
Generators |
[40:18468:1] |
Generators of the group modulo torsion |
j |
1825106655603743/1236403285128 |
j-invariant |
L |
3.7251011321785 |
L(r)(E,1)/r! |
Ω |
0.11088036460467 |
Real period |
R |
2.0997299360196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384dk3 3762h4 40128m3 |
Quadratic twists by: -4 8 -3 |