Atkin-Lehner |
3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573ba |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38160 |
Modular degree for the optimal curve |
Δ |
9037413 = 36 · 72 · 11 · 23 |
Discriminant |
Eigenvalues |
-2 3- 2 7- 11+ 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-399,3064] |
[a1,a2,a3,a4,a6] |
Generators |
[11:2:1] |
Generators of the group modulo torsion |
j |
196661248/253 |
j-invariant |
L |
3.746197682715 |
L(r)(E,1)/r! |
Ω |
2.3059741447998 |
Real period |
R |
1.6245618768693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12397r1 111573o1 |
Quadratic twists by: -3 -7 |