Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050be |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2058386904000000000 = -1 · 212 · 37 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-149067,-72457659] |
[a1,a2,a3,a4,a6] |
Generators |
[4374:285813:1] |
Generators of the group modulo torsion |
j |
-273359449/1536000 |
j-invariant |
L |
3.8003979442125 |
L(r)(E,1)/r! |
Ω |
0.10903888502378 |
Real period |
R |
2.1783501496872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350cj3 4410bb3 450g3 |
Quadratic twists by: -3 5 -7 |