Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088bs |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-928309469764312944 = -1 · 24 · 311 · 75 · 117 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,226419,-20717993] |
[a1,a2,a3,a4,a6] |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
3.1406835093478 |
L(r)(E,1)/r! |
Ω |
0.15703417546739 |
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 |
2772h1 44352ez1 3696bb1 77616fo1 |
Quadratic twists by: -4 8 -3 -7 |