Atkin-Lehner |
2- 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23664p |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-38164726775033856 = -1 · 212 · 33 · 177 · 292 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -1 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-98805,-15239709] |
[a1,a2,a3,a4,a6] |
Generators |
[3210:25143:8] |
Generators of the group modulo torsion |
j |
-26043834513719296/9317560247811 |
j-invariant |
L |
7.2698223282199 |
L(r)(E,1)/r! |
Ω |
0.13226554855931 |
Real period |
R |
1.3086628354862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1479b1 94656bj1 70992p1 |
Quadratic twists by: -4 8 -3 |