Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430bn |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-6274800000 = -1 · 27 · 33 · 55 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70,3812] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-82:1] |
Generators of the group modulo torsion |
j |
-37966934881/6274800000 |
j-invariant |
L |
9.3810387297379 |
L(r)(E,1)/r! |
Ω |
1.0956020334293 |
Real period |
R |
0.081547152407023 |
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 |
52290o1 87150p1 122010bp1 |
Quadratic twists by: -3 5 -7 |