Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896bm |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
108546490368 = 221 · 36 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4620,119824] |
[a1,a2,a3,a4,a6] |
Generators |
[66:320:1] |
Generators of the group modulo torsion |
j |
57066625/568 |
j-invariant |
L |
6.1752362231921 |
L(r)(E,1)/r! |
Ω |
1.0614545672159 |
Real period |
R |
1.4544278233668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40896u1 10224l1 4544o1 |
Quadratic twists by: -4 8 -3 |