Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192a |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
969555968 = 214 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 0 2 4 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284,-1072] |
[a1,a2,a3,a4,a6] |
Generators |
[94:896:1] |
Generators of the group modulo torsion |
j |
154617552/59177 |
j-invariant |
L |
7.8020789905261 |
L(r)(E,1)/r! |
Ω |
1.2011532282349 |
Real period |
R |
3.2477450864596 |
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 |
64192bu2 8024d2 |
Quadratic twists by: -4 8 |