Atkin-Lehner |
2+ 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320a |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7634027520 = 210 · 33 · 5 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66256,6586396] |
[a1,a2,a3,a4,a6] |
Generators |
[153:86:1] |
Generators of the group modulo torsion |
j |
31412749404762436/7455105 |
j-invariant |
L |
3.2262988596258 |
L(r)(E,1)/r! |
Ω |
1.049575228546 |
Real period |
R |
3.0739091128276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640v4 57960by4 96600ck4 |
Quadratic twists by: -4 -3 5 |