Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016z |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
546563931632566272 = 240 · 34 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-619105,183886079] |
[a1,a2,a3,a4,a6] |
j |
100109991859083289/2084975935488 |
j-invariant |
L |
2.3354715406605 |
L(r)(E,1)/r! |
Ω |
0.29193394250004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016cf1 1938d1 |
Quadratic twists by: -4 8 |