Atkin-Lehner |
3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21021l |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-105775816851828123 = -1 · 3 · 77 · 117 · 133 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 11+ 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,92202,11376656] |
[a1,a2,a3,a4,a6] |
j |
736803680768000/899079608427 |
j-invariant |
L |
1.3453128439875 |
L(r)(E,1)/r! |
Ω |
0.22421880733125 |
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 |
63063bf1 3003f1 |
Quadratic twists by: -3 -7 |