Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050dy |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
17020286712450 = 2 · 310 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63294755,193836317217] |
[a1,a2,a3,a4,a6] |
Generators |
[171153531482:-85580854725:37259704] |
Generators of the group modulo torsion |
j |
266916252066900625/162 |
j-invariant |
L |
7.588465609696 |
L(r)(E,1)/r! |
Ω |
0.29848223628091 |
Real period |
R |
12.711754146994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350c2 22050ce2 22050ew2 |
Quadratic twists by: -3 5 -7 |