Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984k |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
29177182285056 = 28 · 315 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 -3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10596,329708] |
[a1,a2,a3,a4,a6] |
j |
704988556288/156342069 |
j-invariant |
L |
5.002206276332 |
L(r)(E,1)/r! |
Ω |
0.6252757977151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43992j1 29328d1 |
Quadratic twists by: -4 -3 |