Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24780l |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
1119744 |
Modular degree for the optimal curve |
Δ |
-6.7229958837782E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1493639,1031314760] |
[a1,a2,a3,a4,a6] |
j |
23032462524641591115776/42018724273614046875 |
j-invariant |
L |
1.9968156027733 |
L(r)(E,1)/r! |
Ω |
0.11093420015407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
99120bj1 74340y1 123900b1 |
Quadratic twists by: -4 -3 5 |