Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054bg |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
39480702731261352 = 23 · 38 · 1110 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-174424,26344088] |
[a1,a2,a3,a4,a6] |
Generators |
[362:3086:1] |
Generators of the group modulo torsion |
j |
331273336732057/22285827432 |
j-invariant |
L |
8.3269811291892 |
L(r)(E,1)/r! |
Ω |
0.35674224118632 |
Real period |
R |
0.97257208985336 |
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 |
63162u3 1914e3 |
Quadratic twists by: -3 -11 |