Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
64158f |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-177089040429264 = -1 · 24 · 36 · 177 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 1 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3607,636309] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:515:1] [-50:603:1] |
Generators of the group modulo torsion |
j |
214921799/7336656 |
j-invariant |
L |
5.9260313414502 |
L(r)(E,1)/r! |
Ω |
0.4305880119524 |
Real period |
R |
1.7203310290026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3774i1 |
Quadratic twists by: 17 |