Atkin-Lehner |
2- 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510q |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
704 |
Product of Tamagawa factors cp |
deg |
7704576 |
Modular degree for the optimal curve |
Δ |
8.5105791302702E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-113399821,-462685949935] |
[a1,a2,a3,a4,a6] |
Generators |
[-5962:-35629:1] |
Generators of the group modulo torsion |
j |
161272686097343726562556430929/851057913027019721932800 |
j-invariant |
L |
8.1009313580738 |
L(r)(E,1)/r! |
Ω |
0.046279049850881 |
Real period |
R |
3.9783028587039 |
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 |
73530p1 122550d1 |
Quadratic twists by: -3 5 |