Atkin-Lehner |
2- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
52706c |
Isogeny class |
Conductor |
52706 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
143640 |
Modular degree for the optimal curve |
Δ |
-9918400815944 = -1 · 23 · 198 · 73 |
Discriminant |
Eigenvalues |
2- 1 3 -1 -6 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9574,390316] |
[a1,a2,a3,a4,a6] |
Generators |
[25614061410:294642312497:138991832] |
Generators of the group modulo torsion |
j |
-5714497/584 |
j-invariant |
L |
12.567848795634 |
L(r)(E,1)/r! |
Ω |
0.70722512884524 |
Real period |
R |
17.770647963423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52706b1 |
Quadratic twists by: -19 |