Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bt |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
225199600704 = 26 · 36 · 136 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1521,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:90:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.8541780901675 |
L(r)(E,1)/r! |
Ω |
0.83973047067896 |
Real period |
R |
2.8903191319369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48672bt1 97344fa2 5408a1 288d1 |
Quadratic twists by: -4 8 -3 13 |