Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24900f |
Isogeny class |
Conductor |
24900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
7781250000 = 24 · 3 · 59 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10333,-400838] |
[a1,a2,a3,a4,a6] |
Generators |
[135110556:10597464457:21952] |
Generators of the group modulo torsion |
j |
3904765952/249 |
j-invariant |
L |
3.6458517540316 |
L(r)(E,1)/r! |
Ω |
0.47352303072248 |
Real period |
R |
15.39883603325 |
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 |
99600dk1 74700v1 24900r1 |
Quadratic twists by: -4 -3 5 |