Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
39648d |
Isogeny class |
Conductor |
39648 |
Conductor |
∏ cp |
392 |
Product of Tamagawa factors cp |
Δ |
5.6162679213836E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4564273,3734352671] |
[a1,a2,a3,a4,a6] |
Generators |
[329:47628:1] |
Generators of the group modulo torsion |
j |
2567312275833493768000/13711591604940327 |
j-invariant |
L |
7.5144729549601 |
L(r)(E,1)/r! |
Ω |
0.1995708211969 |
Real period |
R |
0.38421596403179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39648a2 79296bp1 118944w2 |
Quadratic twists by: -4 8 -3 |