Atkin-Lehner |
2+ 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450z |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-491906250000 = -1 · 24 · 33 · 59 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14876,697898] |
[a1,a2,a3,a4,a6] |
Generators |
[117:691:1] |
Generators of the group modulo torsion |
j |
-23298085122481/31482000 |
j-invariant |
L |
5.9442554139565 |
L(r)(E,1)/r! |
Ω |
0.92981729826496 |
Real period |
R |
0.26637201689153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17490x1 |
Quadratic twists by: 5 |