Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192bx |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
969555968 = 214 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 2 2 -2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-337,-1743] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:44:27] |
Generators of the group modulo torsion |
j |
259108432/59177 |
j-invariant |
L |
9.5219717183486 |
L(r)(E,1)/r! |
Ω |
1.1322731038186 |
Real period |
R |
4.2048034547635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64192e1 16048d1 |
Quadratic twists by: -4 8 |