Atkin-Lehner |
2- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9724a |
Isogeny class |
Conductor |
9724 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
41040 |
Modular degree for the optimal curve |
Δ |
-34232361509632 = -1 · 28 · 115 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 2 4 3 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5941,334113] |
[a1,a2,a3,a4,a6] |
j |
-90601524035584/133720162147 |
j-invariant |
L |
5.8816525644094 |
L(r)(E,1)/r! |
Ω |
0.58816525644094 |
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 |
38896h1 87516c1 106964c1 126412b1 |
Quadratic twists by: -4 -3 -11 13 |