Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554l |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1895393398761733356 = 22 · 34 · 193 · 318 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-140613060,641768901766] |
[a1,a2,a3,a4,a6] |
Generators |
[6755:9657:1] |
Generators of the group modulo torsion |
j |
346441988636642533753/2135645676 |
j-invariant |
L |
7.3978825422319 |
L(r)(E,1)/r! |
Ω |
0.18011027884416 |
Real period |
R |
5.13427286837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3534b2 |
Quadratic twists by: -31 |