Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840eg |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
4810752000 = 214 · 34 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4785,125775] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-60:1] |
Generators of the group modulo torsion |
j |
739674007504/293625 |
j-invariant |
L |
7.6533983074185 |
L(r)(E,1)/r! |
Ω |
1.3465533848428 |
Real period |
R |
0.473641223188 |
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 |
27840bd1 6960a1 83520ef1 |
Quadratic twists by: -4 8 -3 |