Atkin-Lehner |
2- 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33872f |
Isogeny class |
Conductor |
33872 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-541952 = -1 · 28 · 29 · 73 |
Discriminant |
Eigenvalues |
2- -1 0 4 -4 0 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,28] |
[a1,a2,a3,a4,a6] |
Generators |
[9:28:1] |
Generators of the group modulo torsion |
j |
686000/2117 |
j-invariant |
L |
5.0105365590892 |
L(r)(E,1)/r! |
Ω |
2.0618670367105 |
Real period |
R |
2.4300968345093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8468c1 |
Quadratic twists by: -4 |