Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050ck |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
57868020000 = 25 · 310 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1017,4941] |
[a1,a2,a3,a4,a6] |
j |
5213425/2592 |
j-invariant |
L |
1.9737943428452 |
L(r)(E,1)/r! |
Ω |
0.98689717142262 |
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 |
7350cx1 22050ed1 22050ca1 |
Quadratic twists by: -3 5 -7 |