Atkin-Lehner |
2+ 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650b |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-361511100000000 = -1 · 28 · 38 · 58 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3625,917125] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:830:1] [-30:1015:1] |
Generators of the group modulo torsion |
j |
-337298881681/23136710400 |
j-invariant |
L |
6.9809511388149 |
L(r)(E,1)/r! |
Ω |
0.44372687165827 |
Real period |
R |
3.9331352148633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530bb1 |
Quadratic twists by: 5 |