Atkin-Lehner |
5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19825c |
Isogeny class |
Conductor |
19825 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4384901437744140625 = -1 · 512 · 136 · 612 |
Discriminant |
Eigenvalues |
1 2 5+ -4 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,353100,-60086875] |
[a1,a2,a3,a4,a6] |
j |
311598183335516351/280633692015625 |
j-invariant |
L |
1.6170231768696 |
L(r)(E,1)/r! |
Ω |
0.1347519314058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3965a2 |
Quadratic twists by: 5 |