Atkin-Lehner |
3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775bu |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
308397944683125 = 37 · 54 · 11 · 295 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-74325,7753306] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:3082:1] [-206:3784:1] |
Generators of the group modulo torsion |
j |
99660008550400/676867917 |
j-invariant |
L |
5.816652236561 |
L(r)(E,1)/r! |
Ω |
0.54760582972292 |
Real period |
R |
0.35406563875202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925o1 71775bb2 |
Quadratic twists by: -3 5 |