Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270by |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-53837321906265480 = -1 · 23 · 39 · 5 · 119 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12884,11150360] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:3284:1] |
Generators of the group modulo torsion |
j |
133511182631/30389764680 |
j-invariant |
L |
11.999579170035 |
L(r)(E,1)/r! |
Ω |
0.27394488030804 |
Real period |
R |
0.81116474498612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570h1 |
Quadratic twists by: -11 |