Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848cc |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-294916866048 = -1 · 214 · 32 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1009,29233] |
[a1,a2,a3,a4,a6] |
Generators |
[1:168:1] |
Generators of the group modulo torsion |
j |
-6940769488/18000297 |
j-invariant |
L |
3.1633283628571 |
L(r)(E,1)/r! |
Ω |
0.858874061781 |
Real period |
R |
0.30692590291773 |
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 |
22848v2 5712v2 68544es2 |
Quadratic twists by: -4 8 -3 |