Atkin-Lehner |
2+ 3+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
8466d |
Isogeny class |
Conductor |
8466 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
75483706394935296 = 225 · 313 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 -4 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-105748,636496] |
[a1,a2,a3,a4,a6] |
Generators |
[5:326:1] |
Generators of the group modulo torsion |
j |
130781590942475990089/75483706394935296 |
j-invariant |
L |
1.6941296881274 |
L(r)(E,1)/r! |
Ω |
0.29283385881196 |
Real period |
R |
5.785293049788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67728y1 25398j1 |
Quadratic twists by: -4 -3 |