Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288v |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9672818688 = 215 · 33 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26595,1669346] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-48:1] [350:5936:1] |
Generators of the group modulo torsion |
j |
18810484594875/87464 |
j-invariant |
L |
9.6309389904751 |
L(r)(E,1)/r! |
Ω |
1.1416012188447 |
Real period |
R |
2.1090856490635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6786a2 54288w2 |
Quadratic twists by: -4 -3 |