Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550eo |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-51826538432812500 = -1 · 22 · 39 · 58 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28570,-10801303] |
[a1,a2,a3,a4,a6] |
Generators |
[273:4021:1] |
Generators of the group modulo torsion |
j |
9056932295/181997172 |
j-invariant |
L |
10.423702413881 |
L(r)(E,1)/r! |
Ω |
0.17273373652178 |
Real period |
R |
2.5143955237482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850ba1 53550bj1 |
Quadratic twists by: -3 5 |