Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bg |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1058786928230400 = 222 · 312 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-932268,-346461392] |
[a1,a2,a3,a4,a6] |
Generators |
[398680:-21332484:125] |
Generators of the group modulo torsion |
j |
468898230633769/5540400 |
j-invariant |
L |
4.9214404809725 |
L(r)(E,1)/r! |
Ω |
0.15364366853742 |
Real period |
R |
8.0078803893775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dq2 1710r2 18240bp2 |
Quadratic twists by: -4 8 -3 |