Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976t |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-69844992 = -1 · 214 · 3 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79,-273] |
[a1,a2,a3,a4,a6] |
Generators |
[606:3115:27] |
Generators of the group modulo torsion |
j |
3286064/4263 |
j-invariant |
L |
9.4883074780829 |
L(r)(E,1)/r! |
Ω |
1.0410136075554 |
Real period |
R |
4.5572446936428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bn1 4872c1 116928be1 |
Quadratic twists by: -4 8 -3 |