Atkin-Lehner |
2+ 3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10374b |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8295864312305934 = -1 · 2 · 32 · 73 · 134 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 13- 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68789,8182755] |
[a1,a2,a3,a4,a6] |
j |
-35999010623055661273/8295864312305934 |
j-invariant |
L |
1.5807829763342 |
L(r)(E,1)/r! |
Ω |
0.39519574408356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992cv2 31122z2 72618bb2 |
Quadratic twists by: -4 -3 -7 |