Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896bt |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.2307898148158E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -3 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8443284,71236878928] |
[a1,a2,a3,a4,a6] |
Generators |
[-2139193273330:-413389241450496:1706489875] |
Generators of the group modulo torsion |
j |
348329658871589543/11673234302828544 |
j-invariant |
L |
7.4860037404503 |
L(r)(E,1)/r! |
Ω |
0.06197733249764 |
Real period |
R |
15.098269477666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40896be2 10224p2 13632u2 |
Quadratic twists by: -4 8 -3 |