Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050es |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
164161715976562500 = 22 · 36 · 510 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-195005,-26757503] |
[a1,a2,a3,a4,a6] |
j |
611960049/122500 |
j-invariant |
L |
1.8429745566514 |
L(r)(E,1)/r! |
Ω |
0.23037181958142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2450e2 4410m2 3150bm2 |
Quadratic twists by: -3 5 -7 |