Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050bg |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-101376562500000 = -1 · 25 · 36 · 511 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2245,-483253] |
[a1,a2,a3,a4,a6] |
j |
109902239/8900000 |
j-invariant |
L |
5.6860802663937 |
L(r)(E,1)/r! |
Ω |
0.284304013322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450a1 8010f1 |
Quadratic twists by: -3 5 |