Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ih |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-641441280000000 = -1 · 215 · 3 · 57 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6367,1204863] |
[a1,a2,a3,a4,a6] |
Generators |
[138:2175:1] |
Generators of the group modulo torsion |
j |
55742968/1252815 |
j-invariant |
L |
5.925909025982 |
L(r)(E,1)/r! |
Ω |
0.383771486981 |
Real period |
R |
3.8603109062772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600fv3 40800e2 16320cg4 |
Quadratic twists by: -4 8 5 |