Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7872a |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-18137088 = -1 · 214 · 33 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 3 6 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,189] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] |
Generators of the group modulo torsion |
j |
128000/1107 |
j-invariant |
L |
3.5296591163078 |
L(r)(E,1)/r! |
Ω |
1.5962428297883 |
Real period |
R |
2.2112294260241 |
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 |
7872bb1 984d1 23616n1 |
Quadratic twists by: -4 8 -3 |