Atkin-Lehner |
2+ 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230a |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-10926489600000 = -1 · 219 · 33 · 55 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 5 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1830,155700] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:174:1] |
Generators of the group modulo torsion |
j |
25094567676933/404684800000 |
j-invariant |
L |
4.1682435792843 |
L(r)(E,1)/r! |
Ω |
0.53501748051897 |
Real period |
R |
3.8954274683148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22230z1 111150da1 |
Quadratic twists by: -3 5 |