Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640cq |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
98346582691840 = 212 · 5 · 710 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12805,-284563] |
[a1,a2,a3,a4,a6] |
Generators |
[-19691132:47107171:205379] |
Generators of the group modulo torsion |
j |
200704/85 |
j-invariant |
L |
6.0669248227708 |
L(r)(E,1)/r! |
Ω |
0.46615371236866 |
Real period |
R |
13.014858965854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4165p1 66640u1 |
Quadratic twists by: -4 -7 |