Atkin-Lehner |
2- 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670ba |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
51525720 = 23 · 37 · 5 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 -3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-125,-423] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:13:1] |
Generators of the group modulo torsion |
j |
216108018001/51525720 |
j-invariant |
L |
9.056101867984 |
L(r)(E,1)/r! |
Ω |
1.4524437222958 |
Real period |
R |
0.29690854074045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53010l1 88350h1 |
Quadratic twists by: -3 5 |