Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
41184q |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-393963590592 = -1 · 26 · 316 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11- 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,987,-27740] |
[a1,a2,a3,a4,a6] |
j |
2279122496/8444007 |
j-invariant |
L |
3.858870461309 |
L(r)(E,1)/r! |
Ω |
0.4823588076689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184bb1 82368bb2 13728k1 |
Quadratic twists by: -4 8 -3 |