Atkin-Lehner |
2- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8036b |
Isogeny class |
Conductor |
8036 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
64577296 = 24 · 74 · 412 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ -5 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-506,4537] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:91:1] [6:41:1] |
Generators of the group modulo torsion |
j |
373698304/1681 |
j-invariant |
L |
4.5236324874235 |
L(r)(E,1)/r! |
Ω |
1.9721129522201 |
Real period |
R |
0.12743332763219 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32144j1 128576c1 72324d1 8036e1 |
Quadratic twists by: -4 8 -3 -7 |