Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096ci |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-234615040966656 = -1 · 216 · 33 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 2 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9032,-810636] |
[a1,a2,a3,a4,a6] |
j |
-3451273/9936 |
j-invariant |
L |
1.3604464442766 |
L(r)(E,1)/r! |
Ω |
0.22674107398286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762a1 54096ca1 |
Quadratic twists by: -4 -7 |