Atkin-Lehner |
2+ 3- 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734l |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8307856128 = 28 · 3 · 112 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4165,-103696] |
[a1,a2,a3,a4,a6] |
Generators |
[531:11878:1] |
Generators of the group modulo torsion |
j |
7987646364307273/8307856128 |
j-invariant |
L |
5.2057652280796 |
L(r)(E,1)/r! |
Ω |
0.59434062284825 |
Real period |
R |
2.1897229584998 |
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 |
59202y2 |
Quadratic twists by: -3 |