Atkin-Lehner |
3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17457c |
Isogeny class |
Conductor |
17457 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
92870641975428801 = 34 · 114 · 238 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-197857,30520640] |
[a1,a2,a3,a4,a6] |
Generators |
[1520:56180:1] |
Generators of the group modulo torsion |
j |
5786435182177/627352209 |
j-invariant |
L |
4.2944138542294 |
L(r)(E,1)/r! |
Ω |
0.32807147512034 |
Real period |
R |
6.5449363628066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52371d2 759b2 |
Quadratic twists by: -3 -23 |