Atkin-Lehner |
2+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
19856b |
Isogeny class |
Conductor |
19856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1577042944 = -1 · 210 · 172 · 732 |
Discriminant |
Eigenvalues |
2+ 2 2 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392,3680] |
[a1,a2,a3,a4,a6] |
Generators |
[122:255:8] |
Generators of the group modulo torsion |
j |
-6522128932/1540081 |
j-invariant |
L |
8.2769881734937 |
L(r)(E,1)/r! |
Ω |
1.4341300675096 |
Real period |
R |
2.8857173979578 |
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 |
9928b2 79424p2 |
Quadratic twists by: -4 8 |