Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200bf |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
257803924500000000 = 28 · 36 · 59 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-321375,65731250] |
[a1,a2,a3,a4,a6] |
Generators |
[-389:11484:1] [191:3364:1] |
Generators of the group modulo torsion |
j |
10070764688/707281 |
j-invariant |
L |
8.8638369807574 |
L(r)(E,1)/r! |
Ω |
0.30480146495374 |
Real period |
R |
3.6350862774332 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400cf2 5800k2 52200cl2 |
Quadratic twists by: -4 -3 5 |