Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386bb |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
12362112 = 27 · 33 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-566,5317] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-1:1] |
Generators of the group modulo torsion |
j |
15131905299/9344 |
j-invariant |
L |
8.2245219186708 |
L(r)(E,1)/r! |
Ω |
2.2276156490799 |
Real period |
R |
0.26371957460551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386f1 64386x1 |
Quadratic twists by: -3 -7 |