Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20640o |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-10031040 = -1 · 26 · 36 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,54,0] |
[a1,a2,a3,a4,a6] |
j |
267089984/156735 |
j-invariant |
L |
1.390009599603 |
L(r)(E,1)/r! |
Ω |
1.390009599603 |
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 |
20640i1 41280bu1 61920w1 103200bd1 |
Quadratic twists by: -4 8 -3 5 |