Atkin-Lehner |
2+ 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190bf |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-3986611200 = -1 · 210 · 32 · 52 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-278,-3544] |
[a1,a2,a3,a4,a6] |
j |
-1775956931/2995200 |
j-invariant |
L |
2.2118608702251 |
L(r)(E,1)/r! |
Ω |
0.5529652175375 |
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 |
47190cr1 |
Quadratic twists by: -11 |