Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3528u |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-29047955989248 = -1 · 28 · 39 · 78 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4116,278516] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2646:1] |
Generators of the group modulo torsion |
j |
-7168/27 |
j-invariant |
L |
3.2079311194613 |
L(r)(E,1)/r! |
Ω |
0.57959901539236 |
Real period |
R |
0.2306142576066 |
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 |
7056p1 28224bb1 1176a1 88200bn1 |
Quadratic twists by: -4 8 -3 5 |