Atkin-Lehner |
2- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63296p |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-7669960146944 = -1 · 222 · 23 · 433 |
Discriminant |
Eigenvalues |
2- 3 2 -2 5 -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4916,-12400] |
[a1,a2,a3,a4,a6] |
j |
50120963703/29258576 |
j-invariant |
L |
6.9941935853132 |
L(r)(E,1)/r! |
Ω |
0.43713709882342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296n1 15824g1 |
Quadratic twists by: -4 8 |