Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368w |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.9378346331743E+19 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,607189,108135130] |
[a1,a2,a3,a4,a6] |
Generators |
[-92573:19952310:2197] |
Generators of the group modulo torsion |
j |
250404380127/196003234 |
j-invariant |
L |
4.0785872462316 |
L(r)(E,1)/r! |
Ω |
0.13938441748775 |
Real period |
R |
7.3153572683082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4046i4 129472cv3 1904c4 |
Quadratic twists by: -4 8 17 |