Atkin-Lehner |
2- 3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
19272c |
Isogeny class |
Conductor |
19272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1572561757375488 = 210 · 39 · 114 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-422848,-105675812] |
[a1,a2,a3,a4,a6] |
j |
8165403017139914500/1535704841187 |
j-invariant |
L |
1.4977808971575 |
L(r)(E,1)/r! |
Ω |
0.18722261214469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38544e2 57816c2 |
Quadratic twists by: -4 -3 |