Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450k |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-321750000 = -1 · 24 · 32 · 56 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-875] |
[a1,a2,a3,a4,a6] |
Generators |
[14:35:1] |
Generators of the group modulo torsion |
j |
-117649/20592 |
j-invariant |
L |
3.6061692741279 |
L(r)(E,1)/r! |
Ω |
0.76436549395954 |
Real period |
R |
2.3589299246407 |
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 |
64350dz1 858m1 |
Quadratic twists by: -3 5 |