Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
41184x |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1981526976 = -1 · 26 · 39 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81,-2160] |
[a1,a2,a3,a4,a6] |
j |
-46656/1573 |
j-invariant |
L |
1.2852127206228 |
L(r)(E,1)/r! |
Ω |
0.64260636031764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184t1 82368cq1 41184d1 |
Quadratic twists by: -4 8 -3 |