Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576o |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-46463180503477248 = -1 · 210 · 39 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33507,10636110] |
[a1,a2,a3,a4,a6] |
Generators |
[91:2888:1] |
Generators of the group modulo torsion |
j |
-206413976268/2305248169 |
j-invariant |
L |
3.1592253148409 |
L(r)(E,1)/r! |
Ω |
0.30514056706839 |
Real period |
R |
0.86277868185823 |
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 |
19152j2 76608a2 9576b2 67032bl2 |
Quadratic twists by: -4 8 -3 -7 |