Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3960c |
Isogeny class |
Conductor |
3960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2314956996000000 = 28 · 314 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36183,-1288118] |
[a1,a2,a3,a4,a6] |
j |
28071778927696/12404390625 |
j-invariant |
L |
0.72114846202657 |
L(r)(E,1)/r! |
Ω |
0.36057423101329 |
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 |
7920i2 31680ca2 1320n2 19800bf2 |
Quadratic twists by: -4 8 -3 5 |