Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840bb |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
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 |
[-8:27:1] |
Generators of the group modulo torsion |
j |
20720464/11745 |
j-invariant |
L |
5.1712117922325 |
L(r)(E,1)/r! |
Ω |
1.5412842963242 |
Real period |
R |
1.6775658470554 |
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 |
27840ei1 3480r1 83520u1 |
Quadratic twists by: -4 8 -3 |