Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136bi |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-6185621127168 = -1 · 222 · 36 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4533,-22790] |
[a1,a2,a3,a4,a6] |
Generators |
[6:68:1] [23:306:1] |
Generators of the group modulo torsion |
j |
3449795831/2071552 |
j-invariant |
L |
5.6168528888998 |
L(r)(E,1)/r! |
Ω |
0.43934667552189 |
Real period |
R |
3.1961394053044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2142t1 68544ee1 1904b1 119952fu1 |
Quadratic twists by: -4 8 -3 -7 |