Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dv |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-51000000 = -1 · 26 · 3 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17,-337] |
[a1,a2,a3,a4,a6] |
Generators |
[72230:1737831:125] |
Generators of the group modulo torsion |
j |
512/51 |
j-invariant |
L |
9.1039911049665 |
L(r)(E,1)/r! |
Ω |
0.94971790274592 |
Real period |
R |
9.5859950378078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600be1 40800i1 3264d1 |
Quadratic twists by: -4 8 5 |