Atkin-Lehner |
2- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
98384r |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-14068912 = -1 · 24 · 112 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 2 11- 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-184] |
[a1,a2,a3,a4,a6] |
Generators |
[18841924:210901746:148877] |
Generators of the group modulo torsion |
j |
-256000000/879307 |
j-invariant |
L |
10.599955825411 |
L(r)(E,1)/r! |
Ω |
0.91288038325101 |
Real period |
R |
11.611549564525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24596d1 |
Quadratic twists by: -4 |