Atkin-Lehner |
2- 3- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
64464k |
Isogeny class |
Conductor |
64464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-7129202688 = -1 · 216 · 34 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,256,-3660] |
[a1,a2,a3,a4,a6] |
Generators |
[28:162:1] |
Generators of the group modulo torsion |
j |
451217663/1740528 |
j-invariant |
L |
5.1093071352289 |
L(r)(E,1)/r! |
Ω |
0.67289543603606 |
Real period |
R |
1.8982544915306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8058a1 |
Quadratic twists by: -4 |