Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230p |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
162063538792740000 = 25 · 314 · 54 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131011740,577215626800] |
[a1,a2,a3,a4,a6] |
Generators |
[34348245:-284435960:4913] |
Generators of the group modulo torsion |
j |
341135431944367622806895041/222309381060000 |
j-invariant |
L |
3.2193172973525 |
L(r)(E,1)/r! |
Ω |
0.19928191670739 |
Real period |
R |
8.0772940930698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410q3 111150ee4 |
Quadratic twists by: -3 5 |