Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192cb |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4469817344 = -1 · 218 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 4 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,5023] |
[a1,a2,a3,a4,a6] |
Generators |
[21:68:1] |
Generators of the group modulo torsion |
j |
-47045881/17051 |
j-invariant |
L |
6.0149297316787 |
L(r)(E,1)/r! |
Ω |
1.2978161603328 |
Real period |
R |
1.158663668071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192bc1 16048bb1 |
Quadratic twists by: -4 8 |