Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bm |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
268050384 = 24 · 36 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,1451] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] |
Generators of the group modulo torsion |
j |
174456832/22981 |
j-invariant |
L |
4.2904066755807 |
L(r)(E,1)/r! |
Ω |
1.6784512964578 |
Real period |
R |
2.5561698960756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16884m1 7504o1 |
Quadratic twists by: -4 -3 |