Atkin-Lehner |
2+ 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536p |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-1329311088 = -1 · 24 · 311 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -3 -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-1811] |
[a1,a2,a3,a4,a6] |
Generators |
[20:63:1] |
Generators of the group modulo torsion |
j |
-12967168/113967 |
j-invariant |
L |
2.9157491505981 |
L(r)(E,1)/r! |
Ω |
0.64461849403185 |
Real period |
R |
2.2616083605401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33768g1 22512g1 |
Quadratic twists by: -4 -3 |