Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27048o |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-56110102272 = -1 · 28 · 34 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-212,-11388] |
[a1,a2,a3,a4,a6] |
Generators |
[28:62:1] |
Generators of the group modulo torsion |
j |
-35152/1863 |
j-invariant |
L |
5.7144094394466 |
L(r)(E,1)/r! |
Ω |
0.48992972269203 |
Real period |
R |
2.9159332322437 |
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 |
54096t1 81144w1 552e1 |
Quadratic twists by: -4 -3 -7 |