Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550cb |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
580689506250000 = 24 · 38 · 58 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27567,1333341] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:1098:1] [-135:1674:1] |
Generators of the group modulo torsion |
j |
203401212841/50979600 |
j-invariant |
L |
7.4332081220133 |
L(r)(E,1)/r! |
Ω |
0.48434434219945 |
Real period |
R |
1.9183686776071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17850by2 10710x2 |
Quadratic twists by: -3 5 |