Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136z |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-585262520672256 = -1 · 213 · 36 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18909,-594270] |
[a1,a2,a3,a4,a6] |
Generators |
[39:450:1] |
Generators of the group modulo torsion |
j |
250404380127/196003234 |
j-invariant |
L |
3.7222900143474 |
L(r)(E,1)/r! |
Ω |
0.28742346852857 |
Real period |
R |
3.2376357725791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2142h4 68544dl3 1904c4 119952gl3 |
Quadratic twists by: -4 8 -3 -7 |