Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10320bd |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-21299573293056000 = -1 · 226 · 310 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164096,26476980] |
[a1,a2,a3,a4,a6] |
j |
-119305480789133569/5200091136000 |
j-invariant |
L |
3.7928814755591 |
L(r)(E,1)/r! |
Ω |
0.37928814755591 |
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 |
1290k1 41280cj1 30960cc1 51600bx1 |
Quadratic twists by: -4 8 -3 5 |