Atkin-Lehner |
2- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
71104t |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-410068713472 = -1 · 225 · 112 · 101 |
Discriminant |
Eigenvalues |
2- -2 0 1 11- -4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127,30847] |
[a1,a2,a3,a4,a6] |
Generators |
[31:256:1] [1:176:1] |
Generators of the group modulo torsion |
j |
857375/1564288 |
j-invariant |
L |
7.7409179127202 |
L(r)(E,1)/r! |
Ω |
0.74137286921189 |
Real period |
R |
1.3051661036968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71104d1 17776d1 |
Quadratic twists by: -4 8 |