Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384ci |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-1393535129156352 = -1 · 28 · 36 · 7 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -3 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38919,-3458198] |
[a1,a2,a3,a4,a6] |
Generators |
[382863:45586990:27] |
Generators of the group modulo torsion |
j |
-34933430581072/7467073523 |
j-invariant |
L |
7.3252079334516 |
L(r)(E,1)/r! |
Ω |
0.16803081594523 |
Real period |
R |
10.898607872769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376b1 |
Quadratic twists by: -3 |