Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bm |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.3086619654986E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-740545,82251457] |
[a1,a2,a3,a4,a6] |
Generators |
[-573:17836:1] |
Generators of the group modulo torsion |
j |
171332100266282929/88068464870400 |
j-invariant |
L |
7.8164512782322 |
L(r)(E,1)/r! |
Ω |
0.18845997410198 |
Real period |
R |
3.4562825955128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000175218 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680ge2 3990y2 |
Quadratic twists by: -4 8 |