Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506r |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
3.247777492375E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7657972,-8111202574] |
[a1,a2,a3,a4,a6] |
j |
28035534600833657617/183328572506112 |
j-invariant |
L |
2.5421446232066 |
L(r)(E,1)/r! |
Ω |
0.090790879400236 |
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 |
67518cb1 2046j1 |
Quadratic twists by: -3 -11 |