Atkin-Lehner |
2- 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510p |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1495971679687500 = 22 · 3 · 516 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60426,-5410920] |
[a1,a2,a3,a4,a6] |
Generators |
[1724:69956:1] |
Generators of the group modulo torsion |
j |
24400330024019218849/1495971679687500 |
j-invariant |
L |
8.7841018870063 |
L(r)(E,1)/r! |
Ω |
0.30567296271707 |
Real period |
R |
7.1842319720772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73530o4 122550c4 |
Quadratic twists by: -3 5 |