Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24900l |
Isogeny class |
Conductor |
24900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
-116718750000 = -1 · 24 · 32 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,18588] |
[a1,a2,a3,a4,a6] |
Generators |
[24:114:1] |
Generators of the group modulo torsion |
j |
-409600/747 |
j-invariant |
L |
6.9671664050171 |
L(r)(E,1)/r! |
Ω |
0.9379399342026 |
Real period |
R |
3.7140792021721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600cc1 74700m1 24900j1 |
Quadratic twists by: -4 -3 5 |