Atkin-Lehner |
2+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
71104j |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
200228864 = 214 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 2 1 -4 11- 1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165,509] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:33:1] |
Generators of the group modulo torsion |
j |
30505984/12221 |
j-invariant |
L |
8.9725635693758 |
L(r)(E,1)/r! |
Ω |
1.6215496100374 |
Real period |
R |
2.7666632935803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71104n1 8888a1 |
Quadratic twists by: -4 8 |