Atkin-Lehner |
2+ 3- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10266b |
Isogeny class |
Conductor |
10266 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12144 |
Modular degree for the optimal curve |
Δ |
-43058724864 = -1 · 223 · 3 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 0 -6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-242,-10108] |
[a1,a2,a3,a4,a6] |
Generators |
[185670:611947:5832] |
Generators of the group modulo torsion |
j |
-1558071944857/43058724864 |
j-invariant |
L |
4.7751176271616 |
L(r)(E,1)/r! |
Ω |
0.49539612869247 |
Real period |
R |
9.6389885802394 |
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 |
82128j1 30798s1 |
Quadratic twists by: -4 -3 |