Atkin-Lehner |
2- 3- 7- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
119574bh |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
18530132152896 = 26 · 38 · 72 · 132 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6809,-60487] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:394:1] |
Generators of the group modulo torsion |
j |
47883555316297/25418562624 |
j-invariant |
L |
12.575780193454 |
L(r)(E,1)/r! |
Ω |
0.55819024717441 |
Real period |
R |
1.8774632620005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004875 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39858h2 |
Quadratic twists by: -3 |