Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430bq |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
109809000000 = 26 · 33 · 56 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2380,41552] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:308:1] |
Generators of the group modulo torsion |
j |
1490959985699521/109809000000 |
j-invariant |
L |
9.7596769325202 |
L(r)(E,1)/r! |
Ω |
1.0337559763267 |
Real period |
R |
1.5734978653924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52290ba1 87150g1 122010bv1 |
Quadratic twists by: -3 5 -7 |