Atkin-Lehner |
2- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35776i |
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 |
[5:-16:1] |
Generators of the group modulo torsion |
j |
-235298/559 |
j-invariant |
L |
3.5483119270813 |
L(r)(E,1)/r! |
Ω |
1.7197851396874 |
Real period |
R |
0.51580744669743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35776d1 8944a1 |
Quadratic twists by: -4 8 |