Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600bu |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
970444800 = 212 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360,2160] |
[a1,a2,a3,a4,a6] |
Generators |
[4:28:1] |
Generators of the group modulo torsion |
j |
69120/13 |
j-invariant |
L |
5.3153646009444 |
L(r)(E,1)/r! |
Ω |
1.4875689192858 |
Real period |
R |
1.786594402767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600ed1 10400y1 93600ev1 |
Quadratic twists by: -4 -3 5 |