Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840ei |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
192430080 = 214 · 34 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,-145] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] |
Generators of the group modulo torsion |
j |
20720464/11745 |
j-invariant |
L |
6.8343692284622 |
L(r)(E,1)/r! |
Ω |
1.4837882306713 |
Real period |
R |
1.1515068469997 |
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 |
27840bb1 6960c1 83520en1 |
Quadratic twists by: -4 8 -3 |