Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10374k |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
34868839824 = 24 · 36 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62244,-5982336] |
[a1,a2,a3,a4,a6] |
j |
26669607878348076097/34868839824 |
j-invariant |
L |
3.6270740730367 |
L(r)(E,1)/r! |
Ω |
0.30225617275306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82992cd2 31122i2 72618bo2 |
Quadratic twists by: -4 -3 -7 |