Atkin-Lehner |
2- 3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40020b |
Isogeny class |
Conductor |
40020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
497048400 = 24 · 34 · 52 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-821,9270] |
[a1,a2,a3,a4,a6] |
Generators |
[23:45:1] [-27:105:1] |
Generators of the group modulo torsion |
j |
3829676376064/31065525 |
j-invariant |
L |
6.5587541182421 |
L(r)(E,1)/r! |
Ω |
1.663743266788 |
Real period |
R |
0.65702786493248 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120060p1 |
Quadratic twists by: -3 |