Atkin-Lehner |
2+ 3- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8466j |
Isogeny class |
Conductor |
8466 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
296909409596544 = 27 · 39 · 175 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 0 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4299155,3430657262] |
[a1,a2,a3,a4,a6] |
Generators |
[996:11206:1] |
Generators of the group modulo torsion |
j |
8787652539464067883964713/296909409596544 |
j-invariant |
L |
3.7658688717016 |
L(r)(E,1)/r! |
Ω |
0.40233526009358 |
Real period |
R |
0.20800059857353 |
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 |
67728t1 25398n1 |
Quadratic twists by: -4 -3 |