Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342bd |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
155711268216 = 23 · 310 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-217769,-39060367] |
[a1,a2,a3,a4,a6] |
j |
4567603158846559/622728 |
j-invariant |
L |
5.3041029087018 |
L(r)(E,1)/r! |
Ω |
0.22100428786258 |
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 |
9114n2 27342bq2 |
Quadratic twists by: -3 -7 |