Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384dp |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-67399630848 = -1 · 214 · 39 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4800,128608] |
[a1,a2,a3,a4,a6] |
Generators |
[41:27:1] |
Generators of the group modulo torsion |
j |
-1024000000/5643 |
j-invariant |
L |
5.4901509465258 |
L(r)(E,1)/r! |
Ω |
1.1053868656119 |
Real period |
R |
1.2416808908849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999166946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384k1 30096t1 40128bv1 |
Quadratic twists by: -4 8 -3 |