Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984bx |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.1090856008997E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -2 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34466475,-77884781798] |
[a1,a2,a3,a4,a6] |
Generators |
[23083423:2836221048:1331] |
Generators of the group modulo torsion |
j |
-89289015625/2187 |
j-invariant |
L |
6.224220335569 |
L(r)(E,1)/r! |
Ω |
0.031154422375292 |
Real period |
R |
8.324420554362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3249b2 17328ba2 51984ck2 |
Quadratic twists by: -4 -3 -19 |