Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840cn |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-3758400 = -1 · 26 · 34 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24,-90] |
[a1,a2,a3,a4,a6] |
Generators |
[23:110:1] |
Generators of the group modulo torsion |
j |
22906304/58725 |
j-invariant |
L |
3.1271667457672 |
L(r)(E,1)/r! |
Ω |
1.2822768392126 |
Real period |
R |
2.438760999292 |
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 |
27840dq1 13920bd2 83520ft1 |
Quadratic twists by: -4 8 -3 |