Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128ba |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
70337609109504 = 212 · 32 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-174729,28051191] |
[a1,a2,a3,a4,a6] |
Generators |
[111:3168:1] |
Generators of the group modulo torsion |
j |
144032740431412672/17172267849 |
j-invariant |
L |
4.8518415128393 |
L(r)(E,1)/r! |
Ω |
0.59248680847052 |
Real period |
R |
2.0472360917895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40128h2 20064q1 120384r2 |
Quadratic twists by: -4 8 -3 |