Atkin-Lehner |
2- 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430ba |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
860902560000 = 28 · 33 · 54 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6580,-203275] |
[a1,a2,a3,a4,a6] |
j |
31506888650368321/860902560000 |
j-invariant |
L |
4.2477346250851 |
L(r)(E,1)/r! |
Ω |
0.53096682813564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52290bb1 87150bg1 122010dd1 |
Quadratic twists by: -3 5 -7 |