Atkin-Lehner |
2+ 5- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950p |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
208320 |
Modular degree for the optimal curve |
Δ |
56572750000000 = 27 · 59 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 5 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18201,871548] |
[a1,a2,a3,a4,a6] |
j |
341385539669/28965248 |
j-invariant |
L |
1.2243833800547 |
L(r)(E,1)/r! |
Ω |
0.61219169038372 |
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 |
66950bl1 |
Quadratic twists by: 5 |