Atkin-Lehner |
3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025f |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
18087890625 = 33 · 59 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 2 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1542,-22009] |
[a1,a2,a3,a4,a6] |
j |
2803221/125 |
j-invariant |
L |
3.0557756580986 |
L(r)(E,1)/r! |
Ω |
0.76394391452465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11025h1 2205d1 11025g1 |
Quadratic twists by: -3 5 -7 |