Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424ci |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-9755209728 = -1 · 212 · 39 · 112 |
Discriminant |
Eigenvalues |
2- 3- -4 1 11- 2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,528,880] |
[a1,a2,a3,a4,a6] |
j |
45056/27 |
j-invariant |
L |
1.5813706528406 |
L(r)(E,1)/r! |
Ω |
0.7906853264203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1089k1 69696gz1 5808bh1 17424cj1 |
Quadratic twists by: -4 8 -3 -11 |