Atkin-Lehner |
2- 3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40020b |
Isogeny class |
Conductor |
40020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
162444061440 = 28 · 38 · 5 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1396,-4760] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:90:1] [-6:58:1] |
Generators of the group modulo torsion |
j |
1176118452304/634547115 |
j-invariant |
L |
6.5587541182421 |
L(r)(E,1)/r! |
Ω |
0.83187163339398 |
Real period |
R |
2.6281114597299 |
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 |
120060p2 |
Quadratic twists by: -3 |