Atkin-Lehner |
2+ 3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650be |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
373593090170880000 = 216 · 39 · 54 · 19 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24041001,45368837548] |
[a1,a2,a3,a4,a6] |
Generators |
[-2629:301986:1] |
Generators of the group modulo torsion |
j |
2458676036291549235984025/597748944273408 |
j-invariant |
L |
5.3280731240012 |
L(r)(E,1)/r! |
Ω |
0.24022024453424 |
Real period |
R |
1.2322194705534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969032 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82650bo1 |
Quadratic twists by: 5 |