Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192ce |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-17879269376 = -1 · 220 · 172 · 59 |
Discriminant |
Eigenvalues |
2- -1 1 5 -2 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5665,-162367] |
[a1,a2,a3,a4,a6] |
Generators |
[2168:100861:1] |
Generators of the group modulo torsion |
j |
-76711450249/68204 |
j-invariant |
L |
6.9164181142099 |
L(r)(E,1)/r! |
Ω |
0.27513132348831 |
Real period |
R |
6.2846516585456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192y1 16048y1 |
Quadratic twists by: -4 8 |