Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550n |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
436968000 = 26 · 33 · 53 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-672,-6464] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:16:1] |
Generators of the group modulo torsion |
j |
9952248951/129472 |
j-invariant |
L |
3.6263289816159 |
L(r)(E,1)/r! |
Ω |
0.93835844280249 |
Real period |
R |
0.96613639739721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550cw1 53550dc1 |
Quadratic twists by: -3 5 |