Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54080bv |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1124864000 = 212 · 53 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2132,-37856] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:5:1] |
Generators of the group modulo torsion |
j |
119095488/125 |
j-invariant |
L |
5.2929480360569 |
L(r)(E,1)/r! |
Ω |
0.70263555501029 |
Real period |
R |
1.2554986716992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080bu1 27040e1 54080y1 |
Quadratic twists by: -4 8 13 |