Atkin-Lehner |
2- 3- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
49776n |
Isogeny class |
Conductor |
49776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-407764992 = -1 · 217 · 3 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -5 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88,948] |
[a1,a2,a3,a4,a6] |
j |
18191447/99552 |
j-invariant |
L |
2.4279174293349 |
L(r)(E,1)/r! |
Ω |
1.2139587145272 |
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 |
6222a1 |
Quadratic twists by: -4 |