Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136by |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-674983922688 = -1 · 210 · 311 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2184,4376] |
[a1,a2,a3,a4,a6] |
Generators |
[1:81:1] |
Generators of the group modulo torsion |
j |
1543313408/904203 |
j-invariant |
L |
3.0856199938921 |
L(r)(E,1)/r! |
Ω |
0.54990120487712 |
Real period |
R |
1.4028065253019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35136p1 8784f1 11712t1 |
Quadratic twists by: -4 8 -3 |