Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680cb |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.5007946701288E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-902988,-69958512] |
[a1,a2,a3,a4,a6] |
j |
15781142246787/8722841600 |
j-invariant |
L |
2.6532752515017 |
L(r)(E,1)/r! |
Ω |
0.16582970321887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680c3 7920x3 31680cf1 |
Quadratic twists by: -4 8 -3 |