Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810be |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4662199368090 = -1 · 2 · 36 · 5 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4262,-148129] |
[a1,a2,a3,a4,a6] |
Generators |
[8790804:-115919119:46656] |
Generators of the group modulo torsion |
j |
-11741970526489/6395335210 |
j-invariant |
L |
7.2600863932901 |
L(r)(E,1)/r! |
Ω |
0.28812410430492 |
Real period |
R |
12.598887571043 |
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 |
2090e2 94050v2 |
Quadratic twists by: -3 5 |