Atkin-Lehner |
7+ 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11137a |
Isogeny class |
Conductor |
11137 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
26739937 = 75 · 37 · 43 |
Discriminant |
Eigenvalues |
-1 1 -2 7+ 3 -1 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2314,-43037] |
[a1,a2,a3,a4,a6] |
Generators |
[-753:398:27] |
Generators of the group modulo torsion |
j |
1370331073946017/26739937 |
j-invariant |
L |
2.4562698014658 |
L(r)(E,1)/r! |
Ω |
0.68834830447118 |
Real period |
R |
3.5683530932104 |
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 |
100233f1 77959a1 |
Quadratic twists by: -3 -7 |