Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dt |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-4439040000000 = -1 · 216 · 3 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,140063] |
[a1,a2,a3,a4,a6] |
Generators |
[13:300:1] |
Generators of the group modulo torsion |
j |
-7086244/4335 |
j-invariant |
L |
9.0297980754787 |
L(r)(E,1)/r! |
Ω |
0.71791814534844 |
Real period |
R |
1.5722192933053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600gn1 10200g1 16320c1 |
Quadratic twists by: -4 8 5 |