Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050cz |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3241959373800 = -1 · 23 · 39 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25220,1550287] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1241:1] |
Generators of the group modulo torsion |
j |
-30642435/56 |
j-invariant |
L |
7.8952333053727 |
L(r)(E,1)/r! |
Ω |
0.79665136065459 |
Real period |
R |
0.82587709163071 |
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 |
22050c1 22050m2 3150v2 |
Quadratic twists by: -3 5 -7 |