Atkin-Lehner |
2- 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510p |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3341561738407500 = -1 · 22 · 3 · 54 · 194 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,26094,2261136] |
[a1,a2,a3,a4,a6] |
Generators |
[-1320:25832:27] |
Generators of the group modulo torsion |
j |
1964918972535908831/3341561738407500 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73530o3 122550c3 |
Quadratic twists by: -3 5 |