Atkin-Lehner |
2- 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510p |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
10588320000 = 28 · 34 · 54 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10686,424260] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:726:1] |
Generators of the group modulo torsion |
j |
134949649760741089/10588320000 |
j-invariant |
L |
8.7841018870063 |
L(r)(E,1)/r! |
Ω |
1.2226918508683 |
Real period |
R |
1.7960579930193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73530o1 122550c1 |
Quadratic twists by: -3 5 |