Atkin-Lehner |
2- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42284a |
Isogeny class |
Conductor |
42284 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
284580 |
Modular degree for the optimal curve |
Δ |
-2401741161433856 = -1 · 28 · 11 · 318 |
Discriminant |
Eigenvalues |
2- 1 1 4 11+ 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158885,24437447] |
[a1,a2,a3,a4,a6] |
j |
-2031616/11 |
j-invariant |
L |
4.1536314122174 |
L(r)(E,1)/r! |
Ω |
0.4615146013536 |
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 |
42284d1 |
Quadratic twists by: -31 |