Atkin-Lehner |
3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18411b |
Isogeny class |
Conductor |
18411 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
242560792855798731 = 32 · 174 · 199 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 -6 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-160472,-7188514] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:661:1] |
Generators of the group modulo torsion |
j |
1416247867/751689 |
j-invariant |
L |
2.7496575825663 |
L(r)(E,1)/r! |
Ω |
0.25333041152309 |
Real period |
R |
5.4270183473722 |
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 |
55233i2 18411j2 |
Quadratic twists by: -3 -19 |