Atkin-Lehner |
2- 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19140g |
Isogeny class |
Conductor |
19140 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-24311811744000 = -1 · 28 · 39 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5924,-157660] |
[a1,a2,a3,a4,a6] |
j |
89795708880176/94968014625 |
j-invariant |
L |
3.281186381687 |
L(r)(E,1)/r! |
Ω |
0.36457626463188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76560v1 57420o1 95700h1 |
Quadratic twists by: -4 -3 5 |