Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192a |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-17460224 = -1 · 210 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 0 2 4 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,56,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[7854:39360:343] |
Generators of the group modulo torsion |
j |
18966528/17051 |
j-invariant |
L |
7.8020789905261 |
L(r)(E,1)/r! |
Ω |
1.2011532282349 |
Real period |
R |
6.4954901729193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64192bu1 8024d1 |
Quadratic twists by: -4 8 |