Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472cc |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-89603407872 = -1 · 215 · 36 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,927,-9153] |
[a1,a2,a3,a4,a6] |
Generators |
[18:117:1] |
Generators of the group modulo torsion |
j |
2685619000/2734479 |
j-invariant |
L |
7.881002678623 |
L(r)(E,1)/r! |
Ω |
0.58324568812369 |
Real period |
R |
2.2520534196034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bx2 32736a2 |
Quadratic twists by: -4 8 |