Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368bd |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-181422621554900992 = -1 · 230 · 7 · 176 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-788488,270004212] |
[a1,a2,a3,a4,a6] |
Generators |
[14781:44506:27] |
Generators of the group modulo torsion |
j |
-548347731625/1835008 |
j-invariant |
L |
3.2558896792685 |
L(r)(E,1)/r! |
Ω |
0.32147884629658 |
Real period |
R |
5.0639252267705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046b5 129472de5 112c5 |
Quadratic twists by: -4 8 17 |