Atkin-Lehner |
2+ 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28424b |
Isogeny class |
Conductor |
28424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-464354190256 = -1 · 24 · 114 · 172 · 193 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 11+ 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1601,21084] |
[a1,a2,a3,a4,a6] |
j |
28346956187648/29022136891 |
j-invariant |
L |
3.7084481711773 |
L(r)(E,1)/r! |
Ω |
0.6180746951963 |
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 |
56848b1 |
Quadratic twists by: -4 |