Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040cq |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
15016447180800000 = 228 · 34 · 55 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217920,-38781900] |
[a1,a2,a3,a4,a6] |
j |
279419703685750081/3666124800000 |
j-invariant |
L |
4.4228262303141 |
L(r)(E,1)/r! |
Ω |
0.22114131156947 |
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 |
6630q1 |
Quadratic twists by: -4 |