Atkin-Lehner |
5+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10585b |
Isogeny class |
Conductor |
10585 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2848 |
Modular degree for the optimal curve |
Δ |
1323125 = 54 · 29 · 73 |
Discriminant |
Eigenvalues |
-2 0 5+ 0 -3 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-503,-4342] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:0:1] [26:12:1] |
Generators of the group modulo torsion |
j |
14074327977984/1323125 |
j-invariant |
L |
3.0615788228386 |
L(r)(E,1)/r! |
Ω |
1.0081148409183 |
Real period |
R |
1.5184672909141 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95265f1 52925c1 |
Quadratic twists by: -3 5 |