Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4176v |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-102629376 = -1 · 217 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 5 -4 -6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,-486] |
[a1,a2,a3,a4,a6] |
Generators |
[21:96:1] |
Generators of the group modulo torsion |
j |
9261/928 |
j-invariant |
L |
3.3461926692741 |
L(r)(E,1)/r! |
Ω |
0.89589456884416 |
Real period |
R |
0.46687869109297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
522i1 16704bs1 4176q1 104400dk1 |
Quadratic twists by: -4 8 -3 5 |