Atkin-Lehner |
3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47937d |
Isogeny class |
Conductor |
47937 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
-26547559639551 = -1 · 34 · 19 · 297 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7131,-87336] |
[a1,a2,a3,a4,a6] |
j |
67419143/44631 |
j-invariant |
L |
0.3805229265859 |
L(r)(E,1)/r! |
Ω |
0.3805229265765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1653b1 |
Quadratic twists by: 29 |