Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
94792r |
Isogeny class |
Conductor |
94792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
269182169488 = 24 · 177 · 41 |
Discriminant |
Eigenvalues |
2- -1 0 -3 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,38833] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:289:1] [44:127:1] |
Generators of the group modulo torsion |
j |
4000000/697 |
j-invariant |
L |
8.0466611996216 |
L(r)(E,1)/r! |
Ω |
0.93382069862723 |
Real period |
R |
1.0771153942751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5576g1 |
Quadratic twists by: 17 |