Atkin-Lehner |
2+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968b |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-46082980102144 = -1 · 214 · 19 · 236 |
Discriminant |
Eigenvalues |
2+ 2 3 -1 -3 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5451,-289363] |
[a1,a2,a3,a4,a6] |
Generators |
[33959727516:32580196417:827936019] |
Generators of the group modulo torsion |
j |
1093081751552/2812681891 |
j-invariant |
L |
8.9564131063975 |
L(r)(E,1)/r! |
Ω |
0.32900499433929 |
Real period |
R |
13.61136344508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968cc2 1748f2 |
Quadratic twists by: -4 8 |