Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bd |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
749200107110400 = 222 · 310 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43212,-3196816] |
[a1,a2,a3,a4,a6] |
Generators |
[2020:90288:1] |
Generators of the group modulo torsion |
j |
46694890801/3920400 |
j-invariant |
L |
6.2280215707045 |
L(r)(E,1)/r! |
Ω |
0.33289919688287 |
Real period |
R |
4.6771076868171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31680dt2 990e2 10560e2 |
Quadratic twists by: -4 8 -3 |