Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064bn |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
-4540413509632 = -1 · 218 · 7 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1004,103248] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1716:1] |
Generators of the group modulo torsion |
j |
-426957777/17320303 |
j-invariant |
L |
7.1174610046005 |
L(r)(E,1)/r! |
Ω |
0.64362572233221 |
Real period |
R |
1.382298119398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64064a1 16016j1 |
Quadratic twists by: -4 8 |