Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728bv |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1925633654784 = -1 · 214 · 33 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-497,66735] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:240:1] |
Generators of the group modulo torsion |
j |
-830321872/117531351 |
j-invariant |
L |
8.6899051962271 |
L(r)(E,1)/r! |
Ω |
0.68086100221691 |
Real period |
R |
2.1271853256293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dt1 6216c1 |
Quadratic twists by: -4 8 |