Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470g |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-83325273401942550 = -1 · 2 · 32 · 52 · 1112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,104693,4827451] |
[a1,a2,a3,a4,a6] |
Generators |
[227:6239:1] |
Generators of the group modulo torsion |
j |
126902496184237726919/83325273401942550 |
j-invariant |
L |
3.5356502275703 |
L(r)(E,1)/r! |
Ω |
0.2138763379574 |
Real period |
R |
1.3776069002214 |
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 |
58410z3 97350cq3 |
Quadratic twists by: -3 5 |