Atkin-Lehner |
2+ 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
10270b |
Isogeny class |
Conductor |
10270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1622660000 = 25 · 54 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2178,-39244] |
[a1,a2,a3,a4,a6] |
j |
1141854239012761/1622660000 |
j-invariant |
L |
1.3978997714799 |
L(r)(E,1)/r! |
Ω |
0.69894988573995 |
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 |
82160p2 92430bn2 51350t2 |
Quadratic twists by: -4 -3 5 |