Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850by |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
24564384000000000 = 214 · 310 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 6 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72680,139947] |
[a1,a2,a3,a4,a6] |
j |
29819839301/17252352 |
j-invariant |
L |
4.4810415732296 |
L(r)(E,1)/r! |
Ω |
0.32007439808783 |
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 |
46800fb1 1950d1 5850ba1 76050cz1 |
Quadratic twists by: -4 -3 5 13 |