Atkin-Lehner |
3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17457c |
Isogeny class |
Conductor |
17457 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
45113470711663761 = 32 · 112 · 2310 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3078262,2078488595] |
[a1,a2,a3,a4,a6] |
Generators |
[31708222:844743619:17576] |
Generators of the group modulo torsion |
j |
21790813729717297/304746849 |
j-invariant |
L |
4.2944138542294 |
L(r)(E,1)/r! |
Ω |
0.32807147512034 |
Real period |
R |
13.089872725613 |
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 |
52371d4 759b3 |
Quadratic twists by: -3 -23 |