Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dk |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-23128312320000000 = -1 · 215 · 312 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,66367,3220863] |
[a1,a2,a3,a4,a6] |
Generators |
[34:2349:1] |
Generators of the group modulo torsion |
j |
63139882168/45172485 |
j-invariant |
L |
8.0390887463564 |
L(r)(E,1)/r! |
Ω |
0.2413552575772 |
Real period |
R |
2.7756762732834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004585 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600t3 40800f2 16320k4 |
Quadratic twists by: -4 8 5 |