Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536bf |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
665162064 = 24 · 33 · 73 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276,1255] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:333:8] |
Generators of the group modulo torsion |
j |
5382291456/1539727 |
j-invariant |
L |
5.6421518311222 |
L(r)(E,1)/r! |
Ω |
1.5032159967434 |
Real period |
R |
3.7533872999881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16884d1 67536bd1 |
Quadratic twists by: -4 -3 |