Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576co |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
46545583996993536 = 216 · 36 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107032,8561300] |
[a1,a2,a3,a4,a6] |
j |
281397674377/96589584 |
j-invariant |
L |
3.9562826251759 |
L(r)(E,1)/r! |
Ω |
0.32969021876453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3822d2 122304gg2 91728el2 4368t2 |
Quadratic twists by: -4 8 -3 -7 |