Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
21252n |
Isogeny class |
Conductor |
21252 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
61016158812126672 = 24 · 32 · 712 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-127853,-13018800] |
[a1,a2,a3,a4,a6] |
Generators |
[-8700:87465:64] |
Generators of the group modulo torsion |
j |
14445743365636096000/3813509925757917 |
j-invariant |
L |
6.3605823925741 |
L(r)(E,1)/r! |
Ω |
0.25743551108034 |
Real period |
R |
4.1179131075595 |
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 |
85008bg3 63756ba3 |
Quadratic twists by: -4 -3 |