Atkin-Lehner |
2- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
63368b |
Isogeny class |
Conductor |
63368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30976 |
Modular degree for the optimal curve |
Δ |
-721888256 = -1 · 210 · 893 |
Discriminant |
Eigenvalues |
2- 1 -3 4 4 4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,208,656] |
[a1,a2,a3,a4,a6] |
j |
1372 |
j-invariant |
L |
4.0863526304908 |
L(r)(E,1)/r! |
Ω |
1.0215881556912 |
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 |
126736b1 63368c1 |
Quadratic twists by: -4 89 |