Atkin-Lehner |
3- 5+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93525q |
Isogeny class |
Conductor |
93525 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
19308711181640625 = 37 · 512 · 292 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-79188,-5379633] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1134:1] |
Generators of the group modulo torsion |
j |
3514650558604921/1235757515625 |
j-invariant |
L |
5.4033436294529 |
L(r)(E,1)/r! |
Ω |
0.29282976932849 |
Real period |
R |
1.3180118849494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18705e1 |
Quadratic twists by: 5 |