Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384br |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
Δ |
-1.8289849107683E+21 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11- -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7076172,7531636592] |
[a1,a2,a3,a4,a6] |
Generators |
[-1778:120384:1] [-524:105336:1] |
Generators of the group modulo torsion |
j |
-205046048384508241/9570677281176 |
j-invariant |
L |
12.142953687776 |
L(r)(E,1)/r! |
Ω |
0.14701099105887 |
Real period |
R |
0.20649737816369 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384cn2 3762c2 40128d2 |
Quadratic twists by: -4 8 -3 |