Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270u |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3532864053600 = -1 · 25 · 37 · 52 · 74 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3276,53680] |
[a1,a2,a3,a4,a6] |
Generators |
[21:352:1] |
Generators of the group modulo torsion |
j |
5332775378111/4846178400 |
j-invariant |
L |
3.8322792123738 |
L(r)(E,1)/r! |
Ω |
0.51623043129638 |
Real period |
R |
1.8558956330558 |
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 |
6090r2 91350en2 127890bq2 |
Quadratic twists by: -3 5 -7 |