Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528p |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-39846304512 = -1 · 28 · 33 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,441,-8918] |
[a1,a2,a3,a4,a6] |
Generators |
[21:98:1] |
Generators of the group modulo torsion |
j |
11664/49 |
j-invariant |
L |
3.8418509147942 |
L(r)(E,1)/r! |
Ω |
0.58127679225509 |
Real period |
R |
0.82616641632327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7056h2 28224q2 3528e2 88200u2 |
Quadratic twists by: -4 8 -3 5 |