Atkin-Lehner |
2+ 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
11242a |
Isogeny class |
Conductor |
11242 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1376 |
Modular degree for the optimal curve |
Δ |
-89936 = -1 · 24 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ 11+ -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72,208] |
[a1,a2,a3,a4,a6] |
Generators |
[4:0:1] |
Generators of the group modulo torsion |
j |
-42180533641/89936 |
j-invariant |
L |
2.3977960571944 |
L(r)(E,1)/r! |
Ω |
3.4000882906638 |
Real period |
R |
0.35260791076785 |
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 |
89936w1 101178bl1 78694h1 123662bi1 |
Quadratic twists by: -4 -3 -7 -11 |