Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616bj |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-145096704 = -1 · 217 · 33 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 0 3 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,3088] |
[a1,a2,a3,a4,a6] |
Generators |
[2:48:1] |
Generators of the group modulo torsion |
j |
-1940598/41 |
j-invariant |
L |
5.7193275114591 |
L(r)(E,1)/r! |
Ω |
1.8339576960801 |
Real period |
R |
0.38982139035184 |
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 |
23616d1 5904b1 23616bd1 |
Quadratic twists by: -4 8 -3 |