Atkin-Lehner |
2+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35776d |
Isogeny class |
Conductor |
35776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-73269248 = -1 · 217 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -4 -5 3 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-481] |
[a1,a2,a3,a4,a6] |
Generators |
[11:16:1] |
Generators of the group modulo torsion |
j |
-235298/559 |
j-invariant |
L |
2.91852368851 |
L(r)(E,1)/r! |
Ω |
0.78367916895012 |
Real period |
R |
0.93103268663527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35776i1 4472a1 |
Quadratic twists by: -4 8 |