Atkin-Lehner |
2- 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33872c |
Isogeny class |
Conductor |
33872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5952 |
Modular degree for the optimal curve |
Δ |
541952 = 28 · 29 · 73 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 1 -6 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32,60] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [2:2:1] |
Generators of the group modulo torsion |
j |
14155776/2117 |
j-invariant |
L |
6.1681858809937 |
L(r)(E,1)/r! |
Ω |
2.8021471788629 |
Real period |
R |
1.1006177561839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8468a1 |
Quadratic twists by: -4 |