Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770p |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-382795186176000000 = -1 · 222 · 35 · 56 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,36354,29662779] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:5385:1] |
Generators of the group modulo torsion |
j |
5313486409749034271/382795186176000000 |
j-invariant |
L |
6.2565744393837 |
L(r)(E,1)/r! |
Ω |
0.22968722995927 |
Real period |
R |
1.2381608994769 |
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 |
50310w1 83850q1 |
Quadratic twists by: -3 5 |