Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40248m |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4485881088 = 28 · 36 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-495,2754] |
[a1,a2,a3,a4,a6] |
Generators |
[3:36:1] |
Generators of the group modulo torsion |
j |
71874000/24037 |
j-invariant |
L |
6.5023749306788 |
L(r)(E,1)/r! |
Ω |
1.2693399595686 |
Real period |
R |
1.2806606460425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496s2 4472b2 |
Quadratic twists by: -4 -3 |