Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bl |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-413189865320759296 = -1 · 214 · 76 · 118 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- 11- 1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,172143,14110769] |
[a1,a2,a3,a4,a6] |
Generators |
[323:10164:1] |
Generators of the group modulo torsion |
j |
160630448/117649 |
j-invariant |
L |
6.6387336861212 |
L(r)(E,1)/r! |
Ω |
0.19044145688757 |
Real period |
R |
0.96832523795564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208ci2 3388g2 54208p2 |
Quadratic twists by: -4 8 -11 |