Atkin-Lehner |
3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975x |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1468800 |
Modular degree for the optimal curve |
Δ |
-983888022402421875 = -1 · 36 · 57 · 175 · 233 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 1 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1041417,412093116] |
[a1,a2,a3,a4,a6] |
Generators |
[904:13998:1] |
Generators of the group modulo torsion |
j |
-10966054014452809/86377000595 |
j-invariant |
L |
6.7618727734994 |
L(r)(E,1)/r! |
Ω |
0.27952552704288 |
Real period |
R |
1.2095268802555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9775b1 17595r1 |
Quadratic twists by: -3 5 |