Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114444i |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-5995688720161536 = -1 · 28 · 36 · 113 · 176 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11+ -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201144,34921604] |
[a1,a2,a3,a4,a6] |
Generators |
[272:578:1] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
3.4793567919565 |
L(r)(E,1)/r! |
Ω |
0.42765530054595 |
Real period |
R |
1.3559817918277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999644847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12716d2 396c2 |
Quadratic twists by: -3 17 |