Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840cl |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
89720663887134720 = 214 · 34 · 5 · 114 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177000,24834672] |
[a1,a2,a3,a4,a6] |
Generators |
[-462:2790:1] |
Generators of the group modulo torsion |
j |
149722136884593001/21904458956820 |
j-invariant |
L |
5.7102305364653 |
L(r)(E,1)/r! |
Ω |
0.32578178094553 |
Real period |
R |
2.1909721746615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999275 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230q3 |
Quadratic twists by: -4 |