Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3960p |
Isogeny class |
Conductor |
3960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
42693156000000 = 28 · 36 · 56 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45423,-3712878] |
[a1,a2,a3,a4,a6] |
j |
55537159171536/228765625 |
j-invariant |
L |
2.616846235165 |
L(r)(E,1)/r! |
Ω |
0.32710577939563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7920g2 31680bl2 440c2 19800o2 |
Quadratic twists by: -4 8 -3 5 |