Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20460j |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
273447900000000 = 28 · 36 · 58 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118236,-15667740] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:66:1] |
Generators of the group modulo torsion |
j |
714063125369965264/1068155859375 |
j-invariant |
L |
6.4348871361406 |
L(r)(E,1)/r! |
Ω |
0.25748434704003 |
Real period |
R |
1.3884095631258 |
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 |
81840bo2 61380p2 102300k2 |
Quadratic twists by: -4 -3 5 |