Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976ca |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
9977856 = 214 · 3 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-817,-9265] |
[a1,a2,a3,a4,a6] |
Generators |
[4026555:-18865792:91125] |
Generators of the group modulo torsion |
j |
3685542352/609 |
j-invariant |
L |
9.2311199976317 |
L(r)(E,1)/r! |
Ω |
0.89290253946251 |
Real period |
R |
10.338328753316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976h1 9744c1 116928eh1 |
Quadratic twists by: -4 8 -3 |