Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600bq |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
767637000000 = 26 · 310 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3225,56500] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:162:1] |
Generators of the group modulo torsion |
j |
5088448/1053 |
j-invariant |
L |
6.7849792381473 |
L(r)(E,1)/r! |
Ω |
0.84944201617756 |
Real period |
R |
1.9968929902439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600ej1 31200cd1 3744k1 |
Quadratic twists by: -4 -3 5 |