Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640h |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
317111500800 = 215 · 38 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63041,-6071295] |
[a1,a2,a3,a4,a6] |
j |
845570741512328/9677475 |
j-invariant |
L |
1.2051843848204 |
L(r)(E,1)/r! |
Ω |
0.30129609670255 |
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 |
56640x4 28320y4 |
Quadratic twists by: -4 8 |