Atkin-Lehner |
2- 3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40020d |
Isogeny class |
Conductor |
40020 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
31335660000000 = 28 · 34 · 57 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9583420,-11415827768] |
[a1,a2,a3,a4,a6] |
j |
380229105269007264473296/122404921875 |
j-invariant |
L |
2.4025777554929 |
L(r)(E,1)/r! |
Ω |
0.085806348410403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120060d2 |
Quadratic twists by: -3 |