Atkin-Lehner |
2- 3+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27132b |
Isogeny class |
Conductor |
27132 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
15143563008 = 28 · 34 · 7 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10732,-424328] |
[a1,a2,a3,a4,a6] |
Generators |
[166:1530:1] |
Generators of the group modulo torsion |
j |
534030676949968/59154543 |
j-invariant |
L |
5.5690728610604 |
L(r)(E,1)/r! |
Ω |
0.46906054417915 |
Real period |
R |
1.9788038488742 |
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 |
108528bq2 81396c2 |
Quadratic twists by: -4 -3 |