Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550a |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2079967680000000 = -1 · 212 · 33 · 57 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27183,1349341] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:821:1] |
Generators of the group modulo torsion |
j |
5265299629773/4930293760 |
j-invariant |
L |
4.5228898864362 |
L(r)(E,1)/r! |
Ω |
0.3042771437879 |
Real period |
R |
3.7160940106787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550cp3 10710r1 |
Quadratic twists by: -3 5 |