Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ee |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2893401000000000000 = 212 · 310 · 512 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4725300,-3952748000] |
[a1,a2,a3,a4,a6] |
j |
250094631024064/62015625 |
j-invariant |
L |
0.819197616297 |
L(r)(E,1)/r! |
Ω |
0.10239969677702 |
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 |
100800fk2 50400de1 33600cl2 20160co2 |
Quadratic twists by: -4 8 -3 5 |