Atkin-Lehner |
2+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
58378c |
Isogeny class |
Conductor |
58378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
816000 |
Modular degree for the optimal curve |
Δ |
-392474641242423296 = -1 · 215 · 179 · 101 |
Discriminant |
Eigenvalues |
2+ -1 -2 -2 5 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-249846,56632660] |
[a1,a2,a3,a4,a6] |
j |
-14544652121/3309568 |
j-invariant |
L |
0.57335404239662 |
L(r)(E,1)/r! |
Ω |
0.28667702001387 |
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 |
58378b1 |
Quadratic twists by: 17 |