Atkin-Lehner |
2- 3- 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274bq |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2404602938916864 = -1 · 230 · 33 · 7 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1536,2359296] |
[a1,a2,a3,a4,a6] |
j |
400755681091583/2404602938916864 |
j-invariant |
L |
7.2268763985 |
L(r)(E,1)/r! |
Ω |
0.3613438199249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87822v1 |
Quadratic twists by: -3 |