Atkin-Lehner |
2+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12274f |
Isogeny class |
Conductor |
12274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-86303563109049964 = -1 · 22 · 176 · 197 |
Discriminant |
Eigenvalues |
2+ -2 2 0 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,109375,2444496] |
[a1,a2,a3,a4,a6] |
j |
3075827761007/1834455244 |
j-invariant |
L |
0.83253000286307 |
L(r)(E,1)/r! |
Ω |
0.20813250071577 |
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 |
98192p2 110466bv2 646b2 |
Quadratic twists by: -4 -3 -19 |