Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550p |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2098680192000 = -1 · 210 · 39 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,903,-69139] |
[a1,a2,a3,a4,a6] |
Generators |
[35:49:1] |
Generators of the group modulo torsion |
j |
33076161/852992 |
j-invariant |
L |
5.1539688812357 |
L(r)(E,1)/r! |
Ω |
0.39941802955216 |
Real period |
R |
3.2259240319138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550dd1 53550cy1 |
Quadratic twists by: -3 5 |