Atkin-Lehner |
11- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67639a |
Isogeny class |
Conductor |
67639 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-1029103645131419 = -1 · 117 · 134 · 432 |
Discriminant |
Eigenvalues |
-2 1 3 4 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-46504,-4172646] |
[a1,a2,a3,a4,a6] |
j |
-6278383931392/580902179 |
j-invariant |
L |
2.5872307097119 |
L(r)(E,1)/r! |
Ω |
0.16170192053776 |
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 |
6149c1 |
Quadratic twists by: -11 |