Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384ds |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.1471403861408E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5494476,-4427609200] |
[a1,a2,a3,a4,a6] |
Generators |
[-1024:11180:1] |
Generators of the group modulo torsion |
j |
95992014075197617/11235515171364 |
j-invariant |
L |
5.3324006618204 |
L(r)(E,1)/r! |
Ω |
0.099362606575062 |
Real period |
R |
6.7082587506901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000115205 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120384s4 30096w4 40128bi4 |
Quadratic twists by: -4 8 -3 |