Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8946s |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-988221750768 = -1 · 24 · 36 · 75 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2299,21485] |
[a1,a2,a3,a4,a6] |
Generators |
[9:202:1] |
Generators of the group modulo torsion |
j |
1844124275447/1355585392 |
j-invariant |
L |
5.4508175850355 |
L(r)(E,1)/r! |
Ω |
0.56029747534286 |
Real period |
R |
2.4321087569153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71568cb1 994b1 62622cb1 |
Quadratic twists by: -4 -3 -7 |