Atkin-Lehner |
3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655l |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-9030469673671875 = -1 · 314 · 57 · 11 · 133 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11+ 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,40092,-3369987] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1709:1] |
Generators of the group modulo torsion |
j |
4449787707392/5638359375 |
j-invariant |
L |
3.796520056024 |
L(r)(E,1)/r! |
Ω |
0.2198606737158 |
Real period |
R |
4.316961275437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27885w1 83655bi1 |
Quadratic twists by: -3 13 |