Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150da |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
1632 |
Product of Tamagawa factors cp |
Δ |
1.8758235949112E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 6 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-157874138,385640513892] |
[a1,a2,a3,a4,a6] |
Generators |
[-4748:1016374:1] |
Generators of the group modulo torsion |
j |
222805881128059673927309/96042168059451015168 |
j-invariant |
L |
11.696349282026 |
L(r)(E,1)/r! |
Ω |
0.051198354595509 |
Real period |
R |
0.5599305480555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72150t2 |
Quadratic twists by: 5 |