Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136y |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6496635225119E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123702339,-525941897150] |
[a1,a2,a3,a4,a6] |
Generators |
[-40882188937770022425:-226676575453379582830:6747947491857209] |
Generators of the group modulo torsion |
j |
70108386184777836280897/552468975892674624 |
j-invariant |
L |
5.7811674097291 |
L(r)(E,1)/r! |
Ω |
0.04529095192696 |
Real period |
R |
31.911271257073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2142g3 68544dq4 5712t3 119952gs4 |
Quadratic twists by: -4 8 -3 -7 |