Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9537d |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-6194653443 = -1 · 311 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3+ -2 3 11+ -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9594,-365718] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1098:1] |
Generators of the group modulo torsion |
j |
-337930850201473/21434787 |
j-invariant |
L |
1.9845990768292 |
L(r)(E,1)/r! |
Ω |
0.24119468975221 |
Real period |
R |
4.1141019291678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28611t1 104907m1 9537m1 |
Quadratic twists by: -3 -11 17 |