Atkin-Lehner |
3- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
3081b |
Isogeny class |
Conductor |
3081 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-120159 = -1 · 32 · 132 · 79 |
Discriminant |
Eigenvalues |
1 3- 2 -2 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10,11] |
[a1,a2,a3,a4,a6] |
Generators |
[15:52:1] |
Generators of the group modulo torsion |
j |
127263527/120159 |
j-invariant |
L |
4.9560488755214 |
L(r)(E,1)/r! |
Ω |
2.171704640711 |
Real period |
R |
2.2821007896814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49296o1 9243c1 77025d1 40053f1 |
Quadratic twists by: -4 -3 5 13 |