Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384bx |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
89866174464 = 216 · 38 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22476,1296880] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1472:1] [68:288:1] |
Generators of the group modulo torsion |
j |
26282902468/1881 |
j-invariant |
L |
9.6563964393929 |
L(r)(E,1)/r! |
Ω |
1.0209996795535 |
Real period |
R |
4.7288929828293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384cs1 15048d1 40128u1 |
Quadratic twists by: -4 8 -3 |