Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850ba |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-71092645312500 = -1 · 22 · 33 · 58 · 73 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3174,400048] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:381:1] |
Generators of the group modulo torsion |
j |
9056932295/181997172 |
j-invariant |
L |
4.0826449800262 |
L(r)(E,1)/r! |
Ω |
0.45991892276659 |
Real period |
R |
0.49315998706269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53550eo1 17850be1 124950cb1 |
Quadratic twists by: -3 5 -7 |