Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128v |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
28250112 = 212 · 3 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9193,336215] |
[a1,a2,a3,a4,a6] |
Generators |
[458:231:8] |
Generators of the group modulo torsion |
j |
20978903512000/6897 |
j-invariant |
L |
8.3980237661129 |
L(r)(E,1)/r! |
Ω |
1.6944099394112 |
Real period |
R |
2.4781558378458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128c1 20064c1 120384m1 |
Quadratic twists by: -4 8 -3 |