Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550el |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
348160 |
Modular degree for the optimal curve |
Δ |
-967815843750000 = -1 · 24 · 37 · 59 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22055,1962447] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-910:1] |
Generators of the group modulo torsion |
j |
-833237621/679728 |
j-invariant |
L |
8.7424385310484 |
L(r)(E,1)/r! |
Ω |
0.45398267220685 |
Real period |
R |
1.2035754702659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850j1 53550cj1 |
Quadratic twists by: -3 5 |