Atkin-Lehner |
5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
22385f |
Isogeny class |
Conductor |
22385 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-260526729482421875 = -1 · 510 · 117 · 372 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-284373,63395456] |
[a1,a2,a3,a4,a6] |
Generators |
[160:4607:1] |
Generators of the group modulo torsion |
j |
-1435592723091129/147060546875 |
j-invariant |
L |
2.504217315248 |
L(r)(E,1)/r! |
Ω |
0.30286560106878 |
Real period |
R |
2.0671027894972 |
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 |
111925f2 2035a2 |
Quadratic twists by: 5 -11 |