Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
20640s |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
19410062400 = 26 · 38 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2330,-42000] |
[a1,a2,a3,a4,a6] |
j |
21867436817344/303282225 |
j-invariant |
L |
0.6877168340471 |
L(r)(E,1)/r! |
Ω |
0.6877168340471 |
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 |
20640j1 41280z2 61920o1 103200q1 |
Quadratic twists by: -4 8 -3 5 |