Atkin-Lehner |
3- 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
69165r |
Isogeny class |
Conductor |
69165 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
383810748677865 = 36 · 5 · 294 · 533 |
Discriminant |
Eigenvalues |
1 3- 5- -2 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-137049,19539728] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:6276:1] |
Generators of the group modulo torsion |
j |
390504083161555089/526489367185 |
j-invariant |
L |
6.8989019140238 |
L(r)(E,1)/r! |
Ω |
0.53379527095191 |
Real period |
R |
1.0770205808843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7685a1 |
Quadratic twists by: -3 |