Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19520d |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-97543782400 = -1 · 220 · 52 · 612 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 6 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,959,-9441] |
[a1,a2,a3,a4,a6] |
Generators |
[27:192:1] |
Generators of the group modulo torsion |
j |
371694959/372100 |
j-invariant |
L |
3.3964106392253 |
L(r)(E,1)/r! |
Ω |
0.57991211571575 |
Real period |
R |
1.4641919642571 |
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 |
19520p2 610c2 97600g2 |
Quadratic twists by: -4 8 5 |