Atkin-Lehner |
2+ 3+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302c |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-723627260928 = -1 · 210 · 34 · 11 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1320,44352] |
[a1,a2,a3,a4,a6] |
j |
-254659266591625/723627260928 |
j-invariant |
L |
1.589637280866 |
L(r)(E,1)/r! |
Ω |
0.79481864043299 |
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 |
48906ba1 |
Quadratic twists by: -3 |