Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19920l |
Isogeny class |
Conductor |
19920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-11853951192391680 = -1 · 213 · 320 · 5 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51144,-2743596] |
[a1,a2,a3,a4,a6] |
Generators |
[60:738:1] |
Generators of the group modulo torsion |
j |
3611930181361991/2894031052830 |
j-invariant |
L |
6.3503300258498 |
L(r)(E,1)/r! |
Ω |
0.22311801570385 |
Real period |
R |
2.8461753775538 |
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 |
2490b4 79680bl3 59760bm3 99600bu3 |
Quadratic twists by: -4 8 -3 5 |