Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384bw |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.5902309317683E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4104831,-3195284510] |
[a1,a2,a3,a4,a6] |
Generators |
[-1197:1768:1] |
Generators of the group modulo torsion |
j |
40986616004177118928/85210419440601 |
j-invariant |
L |
5.2303858789646 |
L(r)(E,1)/r! |
Ω |
0.10607913730619 |
Real period |
R |
1.5408266288499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999504953 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37128h2 |
Quadratic twists by: -3 |