Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32604d |
Isogeny class |
Conductor |
32604 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
1.286430390068E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-588653,20783967] |
[a1,a2,a3,a4,a6] |
Generators |
[-4678:102885:8] |
Generators of the group modulo torsion |
j |
88117581660107776000/50251187112030333 |
j-invariant |
L |
6.5681597281634 |
L(r)(E,1)/r! |
Ω |
0.19254753032211 |
Real period |
R |
1.8951048713287 |
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 |
97812p2 |
Quadratic twists by: -3 |