Atkin-Lehner |
2- 3+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670m |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
14696916480 = 29 · 33 · 5 · 193 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -1 -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1096,12233] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:157:1] |
Generators of the group modulo torsion |
j |
145606291302529/14696916480 |
j-invariant |
L |
6.3434757360617 |
L(r)(E,1)/r! |
Ω |
1.2122822159361 |
Real period |
R |
0.19380268281725 |
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 |
53010x1 88350bf1 |
Quadratic twists by: -3 5 |