Atkin-Lehner |
2- 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650cn |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
9768833280000000 = 214 · 36 · 57 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56063,-1873383] |
[a1,a2,a3,a4,a6] |
Generators |
[262:1069:1] [-188:1519:1] |
Generators of the group modulo torsion |
j |
1247191583175721/625205329920 |
j-invariant |
L |
16.989879157781 |
L(r)(E,1)/r! |
Ω |
0.32691032062243 |
Real period |
R |
0.3093516071611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530j1 |
Quadratic twists by: 5 |