Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600c |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10176 |
Modular degree for the optimal curve |
Δ |
-1484800 = -1 · 211 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 6 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4728,-123568] |
[a1,a2,a3,a4,a6] |
Generators |
[1140766:33266382:1331] |
Generators of the group modulo torsion |
j |
-228337902530/29 |
j-invariant |
L |
6.2761296313256 |
L(r)(E,1)/r! |
Ω |
0.28786743251622 |
Real period |
R |
10.901076194112 |
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 |
5800b1 46400cd1 104400bm1 11600k1 |
Quadratic twists by: -4 8 -3 5 |