Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616bo |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-77110337470464 = -1 · 217 · 315 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -2 3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6612,368336] |
[a1,a2,a3,a4,a6] |
Generators |
[316:5832:1] |
Generators of the group modulo torsion |
j |
334568302/807003 |
j-invariant |
L |
5.657667597142 |
L(r)(E,1)/r! |
Ω |
0.42644402325255 |
Real period |
R |
1.6583851832387 |
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 |
23616g1 5904c1 7872v1 |
Quadratic twists by: -4 8 -3 |