Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4176h |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-21648384 = -1 · 210 · 36 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 3 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,-7486] |
[a1,a2,a3,a4,a6] |
Generators |
[59:394:1] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
3.3309603940334 |
L(r)(E,1)/r! |
Ω |
0.46033234621223 |
Real period |
R |
3.6179951522435 |
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 |
2088d1 16704cg1 464b1 104400bf1 |
Quadratic twists by: -4 8 -3 5 |