Atkin-Lehner |
2+ 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320g |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-404879310000 = -1 · 24 · 39 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2322,-52839] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1045:1] |
Generators of the group modulo torsion |
j |
-4396419072/1285625 |
j-invariant |
L |
5.9525760129373 |
L(r)(E,1)/r! |
Ω |
0.33876426888025 |
Real period |
R |
2.1964299955576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67320t1 |
Quadratic twists by: -3 |