Atkin-Lehner |
2- 3- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770bf |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-115914240000 = -1 · 212 · 34 · 54 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,410,16100] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:110:1] |
Generators of the group modulo torsion |
j |
7620949383839/115914240000 |
j-invariant |
L |
9.4613806376783 |
L(r)(E,1)/r! |
Ω |
0.78038989997877 |
Real period |
R |
1.0103262311502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50310m1 83850c1 |
Quadratic twists by: -3 5 |