Atkin-Lehner |
2+ 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23664c |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-3173247744 = -1 · 28 · 3 · 173 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -1 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,71,2677] |
[a1,a2,a3,a4,a6] |
j |
152450048/12395499 |
j-invariant |
L |
2.1692661227512 |
L(r)(E,1)/r! |
Ω |
1.0846330613756 |
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 |
11832b1 94656bq1 70992e1 |
Quadratic twists by: -4 8 -3 |